{"id":50402,"date":"2021-05-21T15:45:55","date_gmt":"2021-05-21T10:15:55","guid":{"rendered":"https:\/\/samacheerkalviguru.com\/?p=50402"},"modified":"2021-05-24T12:46:29","modified_gmt":"2021-05-24T07:16:29","slug":"samacheer-kalvi-12th-maths-guide-chapter-10-ex-10-9-in-tamil","status":"publish","type":"post","link":"https:\/\/samacheerkalviguru.com\/samacheer-kalvi-12th-maths-guide-chapter-10-ex-10-9-in-tamil\/","title":{"rendered":"Samacheer Kalvi 12th Maths Guide Chapter 10 \u0b9a\u0bbe\u0ba4\u0bbe\u0bb0\u0ba3 \u0bb5\u0b95\u0bc8\u0b95\u0bcd\u0b95\u0bc6\u0bb4\u0bc1\u0b9a\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1\u0b95\u0bb3\u0bcd Ex 10.9"},"content":{"rendered":"

Tamilnadu State Board New Syllabus\u00a0Samacheer Kalvi 12th Maths Guide<\/a> Pdf Chapter 10 \u0b9a\u0bbe\u0ba4\u0bbe\u0bb0\u0ba3 \u0bb5\u0b95\u0bc8\u0b95\u0bcd\u0b95\u0bc6\u0bb4\u0bc1\u0b9a\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1\u0b95\u0bb3\u0bcd Ex 10.9 Textbook Questions and Answers, Notes.<\/p>\n

TN Board 12th Maths Solutions Chapter 10 \u0b9a\u0bbe\u0ba4\u0bbe\u0bb0\u0ba3 \u0bb5\u0b95\u0bc8\u0b95\u0bcd\u0b95\u0bc6\u0bb4\u0bc1\u0b9a\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1\u0b95\u0bb3\u0bcd Ex 10.9<\/h2>\n

\u0b95\u0bca\u0b9f\u0bc1\u0b95\u0bcd\u0b95\u0baa\u0bcd\u0baa\u0b9f\u0bcd\u0b9f \u0ba8\u0bbe\u0ba9\u0bcd\u0b95\u0bc1 \u0bae\u0bbe\u0bb1\u0bcd\u0bb1\u0bc1 \u0bb5\u0bbf\u0b9f\u0bc8\u0b95\u0bb3\u0bbf\u0bb2\u0bbf\u0bb0\u0bc1\u0ba8\u0bcd\u0ba4\u0bc1 \u0b9a\u0bb0\u0bbf\u0baf\u0bbe\u0ba9 \u0b85\u0bb2\u0bcd\u0bb2\u0ba4\u0bc1 \u0bae\u0bbf\u0b95\u0bb5\u0bc1\u0bae\u0bcd \u0b8f\u0bb1\u0bcd\u0baa\u0bc1\u0b9f\u0bc8\u0baf \u0bb5\u0bbf\u0b9f\u0bc8\u0baf\u0bbf\u0ba9\u0bc8\u0ba4\u0bcd \u0ba4\u0bc7\u0bb0\u0bcd\u0ba8\u0bcd\u0ba4\u0bc6\u0b9f\u0bc1\u0b95\u0bcd\u0b95\u0bb5\u0bc1\u0bae\u0bcd:
\n\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 1.
\n\\(\\frac{d^{2} y}{d x^{2}}+\\left(\\frac{d y}{d x}\\right)^{\\frac{1}{3}}+x^{\\frac{1}{4}}\\) \u0b8e\u0ba9\u0bc1\u0bae\u0bcd \u0bb5\u0b95\u0bc8\u0b95\u0bcd\u0b95\u0bc6\u0bb4\u0bc1\u0b9a\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0bb5\u0bb0\u0bbf\u0b9a\u0bc8 \u0bae\u0bb1\u0bcd\u0bb1\u0bc1\u0bae\u0bcd \u0baa\u0b9f\u0bbf \u0bae\u0bc1\u0bb1\u0bc8\u0baf\u0bc7
\n(1) 2, 3
\n(2) 3, 3
\n(3) 2, 6
\n(4) 2, 4
\n\u0bb5\u0bbf\u0b9f\u0bc8:
\n(1) 2, 3
\n\u0b95\u0bc1\u0bb1\u0bbf\u0baa\u0bcd\u0baa\u0bc1:
\n\"Samacheer
\n\u0bb5\u0bb0\u0bbf\u0b9a\u0bc8 2, \u0baa\u0b9f\u0bbf 3.<\/p>\n

\"Samacheer<\/p>\n

\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 2.
\ny = A cos (x+ B), \u0b87\u0b99\u0bcd\u0b95\u0bc1 A, B \u0b8e\u0ba9\u0bcd\u0baa\u0ba9 \u0b8e\u0ba4\u0bc7\u0b9a\u0bcd\u0b9a\u0bc8 \u0bae\u0bbe\u0bb1\u0bbf\u0bb2\u0bbf\u0b95\u0bb3\u0bcd \u0b8e\u0ba9\u0bc1\u0bae\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bcd\u0b9f\u0bc8\u0b95\u0bcd \u0b95\u0bca\u0ba3\u0bcd\u0b9f \u0bb5\u0bb3\u0bc8\u0bb5\u0bb0\u0bc8 \u0b95\u0bc1\u0b9f\u0bc1\u0bae\u0bcd\u0baa\u0ba4\u0bcd\u0ba4\u0bbf\u0ba9\u0bcd \u0bb5\u0b95\u0bc8\u0b95\u0bcd\u0b95\u0bc6\u0bb4\u0bc1\u0b9a\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1
\n(1) \\(\\frac{d^{2} y}{d x^{2}}\\) – y = 0
\n(2) \\(\\frac{d^{2} y}{d x^{2}}\\) + y = 0
\n(3) \\(\\frac{d^{2} y}{d x^{2}}\\) = 0
\n(4) \\(\\frac{d^{2} x}{d y^{2}}\\) = 0
\n\u0bb5\u0bbf\u0b9f\u0bc8:
\n(2) \\(\\frac{d^{2} y}{d x^{2}}\\) + y = 0<\/p>\n

\u0b95\u0bc1\u0bb1\u0bbf\u0baa\u0bcd\u0baa\u0bc1 :
\n\\(\\frac{d y}{d x}\\) = -Asin (x + B)
\n\\(\\frac{d^{2} y}{d x^{2}}\\) -A cos (x + B) =-y
\n\u21d2 \\(\\frac{d^{2} y}{d x^{2}}\\) + y = 0<\/p>\n

\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 3.
\n\\(\\sqrt{\\sin x}\\) (dx + dy) = \\(\\sqrt{\\cos x}\\) (dx – dy) \u0b8e\u0ba9\u0bc1\u0bae\u0bcd \u0bb5\u0b95\u0bc8\u0b95\u0bcd\u0b95\u0bc6\u0bb4\u0bc1\u0b9a\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0bb5\u0bb0\u0bbf\u0b9a\u0bc8 \u0bae\u0bb1\u0bcd\u0bb1\u0bc1\u0bae\u0bcd \u0baa\u0b9f\u0bbf
\n(1) 1, 2
\n(2) 2, 2
\n(3) 1, 1
\n(4) 2, 1
\n\u0bb5\u0bbf\u0b9f\u0bc8:
\n(3) 1, 1<\/p>\n

\u0b95\u0bc1\u0bb1\u0bbf\u0baa\u0bcd\u0baa\u0bc1:
\n\"Samacheer
\n\u0bb5\u0bb0\u0bbf\u0b9a\u0bc8 1, \u0baa\u0b9f\u0bbf 1<\/p>\n

\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 4.
\n\u0bae\u0bc8\u0baf\u0bae\u0bcd (h, k) \u0bae\u0bb1\u0bcd\u0bb1\u0bc1\u0bae\u0bcd \u0b86\u0bb0\u0bae\u0bcd ‘a’ \u0b95\u0bca\u0ba3\u0bcd\u0b9f \u0b8e\u0bb2\u0bcd\u0bb2\u0bbe \u0bb5\u0b9f\u0bcd\u0b9f\u0b99\u0bcd\u0b95\u0bb3\u0bbf\u0ba9\u0bcd \u0bb5\u0b95\u0bc8\u0b95\u0bcd\u0b95\u0bc6\u0bb4\u0bc1\u0b9a\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0bb5\u0bb0\u0bbf\u0b9a\u0bc8
\n(1) 2
\n(2) 3
\n(3) 4
\n(4) 1
\n\u0bb5\u0bbf\u0b9f\u0bc8:
\n(1) 2
\n\u0b95\u0bc1\u0bb1\u0bbf\u0baa\u0bcd\u0baa\u0bc1:
\n\u0bb5\u0b9f\u0bcd\u0b9f\u0ba4\u0bcd\u0ba4\u0bbf\u0ba9\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1 (x – h)2<\/sup> + (y – k)2<\/sup> = a2<\/sup>
\n\u0b87\u0bb0\u0ba3\u0bcd\u0b9f\u0bc1 \u0bae\u0bbe\u0bb1\u0bbf\u0bb2\u0bbf\u0b95\u0bb3\u0bcd \u0b89\u0bb3\u0bcd\u0bb3\u0ba4\u0bbe\u0bb2\u0bcd, \u0bb5\u0bb0\u0bbf\u0b9a\u0bc8 2 \u0b86\u0b95\u0bc1\u0bae\u0bcd.<\/p>\n

\"Samacheer<\/p>\n

\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 5.
\ny = Aex<\/sup> + Be-x<\/sup> \u0b87\u0b99\u0bcd\u0b95\u0bc1 A, B \u0b8e\u0ba9\u0bcd\u0baa\u0ba9 \u0b8f\u0ba4\u0bc7\u0ba9\u0bc1\u0bae\u0bcd \u0b88\u0bb0 \u0bae\u0bbe\u0bb1\u0bbf\u0bb2\u0bbf\u0b95\u0bb3\u0bcd, \u0b8e\u0ba9\u0bc1\u0bae\u0bcd \u0bb5\u0bb3\u0bc8\u0bb5\u0bb0\u0bc8\u0ba4\u0bcd \u0ba4\u0bca\u0b95\u0bc1\u0ba4\u0bbf\u0baf\u0bbf\u0ba9\u0bcd \u0bb5\u0b95\u0bc8\u0b95\u0bcd\u0b95\u0bc6\u0bb4\u0bc1\u0b9a\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1
\n(1) \\(\\frac{d^{2} y}{d x^{2}}\\) + y = 0
\n(2) \\(\\frac{d^{2} y}{d x^{2}}\\) – y = 0
\n(3) \\(\\frac{d y}{d x}\\) + y = 0
\n(4) \\(\\frac{d y}{d x}\\) – y = 0
\n\u0bb5\u0bbf\u0b9f\u0bc8:
\n(2) \\(\\frac{d^{2} y}{d x^{2}}\\) – y = 0
\n\u0b95\u0bc1\u0bb1\u0bbf\u0baa\u0bcd\u0baa\u0bc1 :
\ny = Aex<\/sup> + Be-x<\/sup>
\n\\(\\frac{d y}{d x}\\) = Aex<\/sup> + Be-x<\/sup>
\n\\(\\frac{d^{2} y}{d x^{2}}\\) = Aex<\/sup> + Be-x<\/sup> = -y
\n\u21d2 \\(\\frac{d^{2} y}{d x^{2}}\\) – y = 0<\/p>\n

\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 6.
\n\\(\\frac{d y}{d x}=\\frac{y}{x}\\) \u0b8e\u0ba9\u0bc1\u0bae\u0bcd \u0bb5\u0b95\u0bc8\u0b95\u0bcd\u0b95\u0bc6\u0bb4\u0bc1\u0b9a\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0baa\u0bca\u0ba4\u0bc1\u0ba4\u0bcd\u0ba4\u0bc0\u0bb0\u0bcd\u0bb5\u0bc1
\n(1) xy = k
\n(2) y = k log x
\n(3) y = kx
\n(4) logy = kx
\n\u0bb5\u0bbf\u0b9f\u0bc8:
\n(3) y = kx<\/p>\n

\"Samacheer<\/p>\n

\u0b95\u0bc1\u0bb1\u0bbf\u0baa\u0bcd\u0baa\u0bc1 :
\n\\(\\frac{d y}{d x}=\\frac{y}{x}\\)
\n\u21d2 \\(\\frac{d y}{y}=\\frac{d x}{x}\\)
\n\u21d2 logy = log x + log k
\n\u21d2 log y = log kx
\n\u21d2 y = kx<\/p>\n

\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 7.
\n2x\\(\\frac{d y}{d x}\\) – y = 3 \u0b8e\u0ba9\u0bc1\u0bae\u0bcd \u0bb5\u0b95\u0bc8\u0b95\u0bcd\u0b95\u0bc6\u0bb4\u0bc1\u0b9a\u0bcd\u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0ba4\u0bc0\u0bb0\u0bcd\u0bb5\u0bc1 \u0b95\u0bc1\u0bb1\u0bbf\u0baa\u0bcd\u0baa\u0bbf\u0b9f\u0bc1\u0bb5\u0ba4\u0bc1
\n(1) \u0ba8\u0bc7\u0bb0\u0bcd\u0b95\u0bcd\u0b95\u0bcb\u0b9f\u0bc1\u0b95\u0bb3\u0bcd
\n(2) \u0bb5\u0b9f\u0bcd\u0b9f\u0b99\u0bcd\u0b95\u0bb3\u0bcd
\n(3) \u0baa\u0bb0\u0bb5\u0bb3\u0bc8\u0baf\u0bae\u0bcd
\n(4) \u0ba8\u0bc0\u0bb3\u0bcd\u0bb5\u0b9f\u0bcd\u0b9f\u0bae\u0bcd
\n\u0bb5\u0bbf\u0b9f\u0bc8:
\n(3) \u0baa\u0bb0\u0bb5\u0bb3\u0bc8\u0baf\u0bae\u0bcd<\/p>\n

\u0b95\u0bc1\u0bb1\u0bbf\u0baa\u0bcd\u0baa\u0bc1:
\n2x\\(\\frac{d y}{d x}\\) – y = 3
\n\u21d2 2x\\(\\frac{d y}{d x}\\) = 3 + y
\n\u21d2 \\(2 \\frac{d y}{3+y}=\\frac{d x}{x}\\)
\n\u21d2 2 log (3 + y) = log x + log c
\n\u21d2 log(3 + y)2<\/sup> = log.x c.
\n\u21d2 (3 + y)2<\/sup> = xc
\n\u0b87\u0ba4\u0bc1 \u0b92\u0bb0\u0bc1 \u0baa\u0bb0\u0bb5\u0bb3\u0bc8\u0baf\u0bae\u0bcd \u0b86\u0b95\u0bc1\u0bae\u0bcd.<\/p>\n

qm 8.
\n\\(\\frac{d y}{d x}\\) + p(x)y = 0 \u0ba9\u0bcd \u0ba4\u0bc0\u0bb0\u0bcd\u0bb5\u0bc1
\n(1) y = ce\\(\\int p d x\\)<\/sup>
\n(2) y = ce–\\(\\int p d x\\)<\/sup>
\n(3) x = ce–\\(\\int p d y\\)<\/sup>
\n(4) x = ce\\(\\int p d y\\)<\/sup>
\n\u0bb5\u0bbf\u0b9f\u0bc8:
\n(2) y = ce–\\(\\int p d x\\)<\/sup><\/p>\n

\u0b95\u0bc1\u0bb1\u0bbf\u0baa\u0bcd\u0baa\u0bc1:
\n\"Samacheer<\/p>\n

\"Samacheer<\/p>\n

\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 9.
\n\\(\\frac{d y}{d x}+y=\\frac{1+y}{\\lambda}\\) \u0b8e\u0ba9\u0bcd\u0bb1 \u0bb5\u0b95\u0bc8\u0b95\u0bcd\u0b95\u0bc6\u0bb4\u0bc1 \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0ba4\u0bca\u0b95\u0bc8\u0baf\u0bc0\u0b9f\u0bcd\u0b9f\u0bc1\u0b95\u0bcd \u0b95\u0bbe\u0bb0\u0ba3\u0bbf
\n(1) \\(\\frac{x}{e^{\\lambda}}\\)
\n(2) \\(\\frac{e^{\\lambda}}{x}\\)
\n(3) \u03bbex<\/sup>
\n(4) ex<\/sup>
\n\u0bb5\u0bbf\u0b9f\u0bc8:
\n(2) \\(\\frac{e^{\\lambda}}{x}\\)<\/p>\n

\u0b95\u0bc1\u0bb1\u0bbf\u0baa\u0bcd\u0baa\u0bc1:
\n\"Samacheer<\/p>\n

\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 10.
\n\\(\\frac{d y}{d x}\\) = P(x)y = Q(x) \u0b8e\u0ba9\u0bcd\u0bb1 \u0bb5\u0b95\u0bc8\u0b95\u0bcd\u0b95\u0bc6\u0bb4\u0bc1\u0b9a\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0ba4\u0bca\u0b95\u0bc8\u0baf\u0bc0\u0b9f\u0bcd\u0b9f\u0bc1\u0b95\u0bcd \u0b95\u0bbe\u0bb0\u0ba3\u0bbf x \u0b8e\u0ba9\u0bbf\u0bb2\u0bcd, P(x) \u0b8e\u0ba9\u0bcd\u0baa\u0ba4\u0bc1
\n(1) 1
\n(2) \\(\\frac{x^{2}}{2}\\)
\n(3) \\(\\frac{1}{x}\\)
\n(4) \\(\\frac{1}{x^{2}}\\)
\n\u0bb5\u0bbf\u0b9f\u0bc8:
\n(3) \\(\\frac{1}{x}\\)<\/p>\n

\u0b95\u0bc1\u0bb1\u0bbf\u0baa\u0bcd\u0baa\u0bc1:
\ne\\(\\int p d x\\)<\/sup> = x
\n\u21d2 log e\\(\\int p d x\\)<\/sup> = log x \u21d2 \\(\\int\\) pdx = log x
\nd(\\(\\int\\) pdx) = d(log x)
\n\u21d2 p = \\(\\frac{1}{x}\\)<\/p>\n

\"Samacheer<\/p>\n

\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 11.
\ny(s) = 1 + \\(\\frac{d y}{d x}+\\frac{1}{1.2}\\left(\\frac{d y}{d x}\\right)^{2}+\\frac{1}{1.2 .3}\\left(\\frac{d y}{d x}\\right)^{3}+\\ldots\\)
\n\u0b8e\u0ba9\u0bc1\u0bae\u0bcd \u0bb5\u0b95\u0bc8\u0b95\u0bcd\u0b95\u0bc6\u0bb4\u0bc1\u0b9a\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0baa\u0b9f\u0bbf
\n(1) 2
\n(2) 3
\n(3) 1
\n(4) 4
\n\u0bb5\u0bbf\u0b9f\u0bc8:
\n(3) 1
\n\u0b95\u0bc1\u0bb1\u0bbf\u0baa\u0bcd\u0baa\u0bc1:
\n\u0baa\u0b9f\u0bbf 1.<\/p>\n

\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 12.
\np \u0bae\u0bb1\u0bcd\u0bb1\u0bc1\u0bae\u0bcd \u0baa\u0bc1 \u0b8e\u0ba9\u0bcd\u0baa\u0ba9 \u0bae\u0bc1\u0bb1\u0bc8\u0baf\u0bc7 \\(y \\frac{d y}{d x}+x^{3}\\left(\\frac{d^{2} y}{d x^{2}}\\right)\\) + xy = cosx \u0b8e\u0ba9\u0bc1\u0bae\u0bcd \u0bb5\u0b95\u0bc8\u0b95\u0bcd\u0b95\u0bc6\u0bb4\u0bc1\u0b9a\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0bb5\u0bb0\u0bbf\u0b9a\u0bc8 \u0bae\u0bb1\u0bcd\u0bb1\u0bc1\u0bae\u0bcd \u0baa\u0b9f\u0bbf \u0b8e\u0ba9\u0bbf\u0bb2\u0bcd,
\n(1) p < q (2) p = q (3) p > q
\n(4) \u0b87\u0bb5\u0bb1\u0bcd\u0bb1\u0bbf\u0bb2\u0bcd \u0b8f\u0ba4\u0bc1\u0bae\u0bbf\u0bb2\u0bcd\u0bb2\u0bc8 .
\n\u0bb5\u0bbf\u0b9f\u0bc8:
\n(3) p > q
\n\u0b95\u0bc1\u0bb1\u0bbf\u0baa\u0bcd\u0baa\u0bc1:
\np = 2, q = 1 \u2234 p > q<\/p>\n

\"Samacheer<\/p>\n

\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 13.
\n\\(\\frac{d y}{d x}+\\frac{1}{\\sqrt{1-x^{2}}}=0\\) \u0b8e\u0ba9\u0bc1\u0bae\u0bcd \u0bb5\u0b95\u0bc8\u0b95\u0bcd\u0b95\u0bc6\u0bb4\u0bc1\u0b9a\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0ba4\u0bc0\u0bb0\u0bcd\u0bb5\u0bc1
\n(1) y + sin-1<\/sup> x = c
\n(2) x + sin-1<\/sup> y = 0
\n(3) y + 2 sin-1<\/sup> x = c
\n(4) x2<\/sup> + 2 sin-1<\/sup> y = 0
\n\u0bb5\u0bbf\u0b9f\u0bc8:
\n(1) y + sin-1<\/sup> x = c
\n\"Samacheer<\/p>\n

\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 14.
\n\\(\\frac{d y}{d x}\\) = 2xy \u0b8e\u0ba9\u0bc1\u0bae\u0bcd \u0bb5\u0b95\u0bc8\u0b95\u0bcd\u0b95\u0bc6\u0bb4\u0bc1 \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0ba4\u0bc0\u0bb0\u0bcd\u0bb5\u0bc1 ,
\n(1) y = Cex2<\/sup><\/sup>
\n(2) y = 2x2<\/sup> + C
\n(3) y = Ce-x2<\/sup><\/sup> + C
\n(4) y = x2<\/sup> + C
\n\u0bb5\u0bbf\u0b9f\u0bc8:
\n(1) y = Cex2<\/sup><\/sup><\/p>\n

\u0b95\u0bc1\u0bb1\u0bbf\u0baa\u0bcd\u0baa\u0bc1:
\n\\(\\frac{d y}{d x}\\) = 2xy
\n\\(\\frac{d y}{y}\\) = 2x dx
\n\u21d2 log y = \\(\\) +log c
\n\u21d2 log y – log e = x2<\/sup> \u21d2 log \\(\\left(\\frac{y}{c}\\right)\\) = x2<\/sup>
\n\u21d2 \\(\\frac{y}{c}\\) = ex2<\/sup><\/sup> \u21d2 y = cex2<\/sup><\/sup><\/p>\n

\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 15.
\nlog \\(\\left(\\frac{d y}{d x}\\right)\\) = x + y \u0b8e\u0ba9\u0bc1\u0bae\u0bcd \u0bb5\u0b95\u0bc8\u0b95\u0bcd\u0b95\u0bc6\u0bb4\u0bc1\u0b9a\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0ba4\u0bc0\u0bb0\u0bcd\u0bb5\u0bc1
\n(1) ex<\/sup> + ey<\/sup> = C
\n(2) ex<\/sup> + e-y<\/sup> = C
\n(3) e-x<\/sup> + ey<\/sup> = C
\n(4) e-x<\/sup> + e-y<\/sup> = C
\n\u0bb5\u0bbf\u0b9f\u0bc8:
\n(2) ex<\/sup> + e-y<\/sup> = C<\/p>\n

\u0b95\u0bc1\u0bb1\u0bbf\u0baa\u0bcd\u0baa\u0bc1:
\nlog \\(\\left(\\frac{d y}{d x}\\right)\\) = x + y
\n\u21d2 \\(\\frac{d y}{d x}\\) = ex+y<\/sup> = ex<\/sup> . ey<\/sup>
\n\u21d2 \\(\\frac{d y}{e^{y}}\\) = ex<\/sup> dx
\n\u21d2 e-y<\/sup> dx = ex<\/sup> dx
\n\u21d2 \\(\\int\\) e-y<\/sup> dy = \\(\\int\\) ex<\/sup> dx
\n\u21d2 -e-y<\/sup> = ex<\/sup> + c
\n\u21d2 ex<\/sup> + e = c<\/p>\n

\"Samacheer<\/p>\n

\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 16.
\n\\(\\frac{d y}{d x}\\) = 2y-x<\/sup> \u0ba9\u0bcd \u0ba4\u0bc0\u0bb0\u0bcd\u0bb5\u0bc1
\n(1) 2x<\/sup> + 2y<\/sup> = C
\n(2) 2x<\/sup> – 2y<\/sup> = C
\n(3) \\(\\frac{1}{2^{x}}-\\frac{1}{2^{y}}=C\\)
\n(4) x + y = c
\n\u0bb5\u0bbf\u0b9f\u0bc8:
\n(3) \\(\\frac{1}{2^{x}}-\\frac{1}{2^{y}}=C\\)<\/p>\n

\u0b95\u0bc1\u0bb1\u0bbf\u0baa\u0bcd\u0baa\u0bc1:
\n\"Samacheer<\/p>\n

\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 17.
\n\\(\\frac{d y}{d x}=\\frac{y}{x}+\\frac{\\phi\\left(\\frac{y}{x}\\right)}{\\phi^{\\prime}\\left(\\frac{y}{x}\\right)}\\)
\n\u0b8e\u0ba9\u0bc1\u0bae\u0bcd \u0bb5\u0b95\u0bc8\u0b95\u0bcd\u0b95\u0bc6\u0bb4\u0bc1\u0b9a\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0ba4\u0bc0\u0bb0\u0bcd\u0bb5\u0bc1
\n(1) x\u03a6 \\(\\left(\\frac{y}{x}\\right)\\) = k
\n(2) \u03a6 \\(\\left(\\frac{y}{x}\\right)\\) = kx
\n(3) y\u03a6 \\(\\left(\\frac{y}{x}\\right)\\) = k
\n(4) \u03a6 \\(\\left(\\frac{y}{x}\\right)\\) = ky
\n\u0bb5\u0bbf\u0b9f\u0bc8:
\n(2) \u03a6 \\(\\left(\\frac{y}{x}\\right)\\) = kx<\/p>\n

\u0b95\u0bc1\u0bb1\u0bbf\u0baa\u0bcd\u0baa\u0bc1:
\n\\(\\frac{d y}{d x}=\\frac{y}{x}+\\frac{\\phi\\left(\\frac{y}{x}\\right)}{\\phi^{\\prime}\\left(\\frac{y}{x}\\right)}\\)
\n\u21d2 \\(\\frac{d y}{d x}\\) = ex+y<\/sup> = ex<\/sup> . ey<\/sup><\/p>\n

\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 18.
\n\\(\\frac{d y}{d x}\\) + Py = Q , \u0b8e\u0ba9\u0bc1\u0bae\u0bcd \u0ba8\u0bc7\u0bb0\u0bbf\u0baf\u0bb2\u0bcd \u0bb5\u0b95\u0bc8\u0b95\u0bcd\u0b95\u0bc6\u0bb4\u0bc1\u0b9a\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0ba4\u0bca\u0b95\u0bc8\u0baf\u0bc0\u0b9f\u0bcd\u0b9f\u0bc1\u0b95\u0bcd \u0b95\u0bbe\u0bb0\u0ba3\u0bbf sin x \u0b8e\u0ba9\u0bbf\u0bb2\u0bcd, P \u0b8e\u0ba9\u0bcd\u0baa\u0ba4\u0bc1
\n(1) log sinx
\n(2) cos X
\n(3) tan x
\n(4) cot x
\n\u0bb5\u0bbf\u0b9f\u0bc8:
\n(4) cot x<\/p>\n

\u0b95\u0bc1\u0bb1\u0bbf\u0baa\u0bcd\u0baa\u0bc1:
\ne\\(\\int p d x\\)<\/sup> = sinx
\n= \\(\\int\\) pdx = log sinx
\n\u21d2 \\(\\frac{d}{d x}\\left(\\int p d x\\right)\\) = \\(\\frac{d}{d x}\\) (log(sin x))
\np = \\(\\frac{1}{\\sin x}\\) \u00d7 cos x = cot x<\/p>\n

\"Samacheer<\/p>\n

\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 19.
\n\u0bb5\u0bb0\u0bbf\u0b9a\u0bc8 n \u0bae\u0bb1\u0bcd\u0bb1\u0bc1\u0bae\u0bcd n + 1 \u0b95\u0bca\u0ba3\u0bcd\u0b9f \u0bb5\u0b95\u0bc8\u0b95\u0bcd\u0b95\u0bc6\u0bb4\u0bc1\u0b9a\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1\u0b95\u0bb3\u0bbf\u0ba9\u0bcd \u0baa\u0bca\u0ba4\u0bc1\u0ba4\u0bcd \u0ba4\u0bc0\u0bb0\u0bcd\u0bb5\u0bc1\u0b95\u0bb3\u0bbf\u0bb2\u0bcd \u0b89\u0bb3\u0bcd\u0bb3 \u0bae\u0bbe\u0bb1\u0ba4\u0bcd\u0ba4\u0b95\u0bcd\u0b95 \u0bae\u0bbe\u0bb1\u0bbf\u0bb2\u0bbf\u0b95\u0bb3\u0bbf\u0ba9\u0bcd \u0b8e\u0ba3\u0bcd\u0ba3\u0bbf\u0b95\u0bcd\u0b95\u0bc8 \u0bae\u0bc1\u0bb1\u0bc8\u0baf\u0bc7
\n(1) n – 1, n
\n(2) n, n + 1
\n(3) n + 1, n + 2
\n(4) n + 1, n
\n\u0bb5\u0bbf\u0b9f\u0bc8:
\n(2) n, n +1<\/p>\n

\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 20.
\n\u0bae\u0bc2\u0ba9\u0bcd\u0bb1\u0bbe\u0bae\u0bcd \u0bb5\u0bb0\u0bbf\u0b9a\u0bc8 \u0bb5\u0b95\u0bc8\u0b95\u0bcd\u0b95\u0bc6\u0bb4\u0bc1\u0b9a\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0b95\u0bc1\u0bb1\u0bbf\u0baa\u0bcd\u0baa\u0bbf\u0b9f\u0bcd\u0b9f\u0ba4\u0bcd \u0ba4\u0bc0\u0bb0\u0bcd\u0bb5\u0bbf\u0bb2\u0bcd \u0b89\u0bb3\u0bcd\u0bb3 \u0bae\u0bbe\u0bb1\u0ba4\u0bcd\u0ba4\u0b95\u0bcd\u0b95 \u0bae\u0bbe\u0bb1\u0bbf\u0bb2\u0bbf\u0b95\u0bb3\u0bbf\u0ba9\u0bcd \u0b8e\u0ba3\u0bcd\u0ba3\u0bbf\u0b95\u0bcd\u0b95\u0bc8
\n(1) 3
\n(2) 2
\n(3) 1
\n(4) 0
\n\u0bb5\u0bbf\u0b9f\u0bc8:
\n(4) 0<\/p>\n

\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 21.
\n\\(\\frac{d y}{d x}=\\frac{x+y+1}{x+1}\\) \u0b8e\u0ba9\u0bc1\u0bae\u0bcd \u0bb5\u0b95\u0bc8\u0b95\u0bcd\u0b95\u0bc6\u0bb4\u0bc1\u0b9a\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0ba4\u0bca\u0b95\u0bc8\u0baf\u0bc0\u0b9f\u0bcd\u0b9f\u0bc1\u0b95\u0bcd \u0b95\u0bbe\u0bb0\u0ba3\u0bbf
\n(1) \\(\\frac{1}{x+1}\\)
\n(2) x +1
\n(3) \\(\\frac{1}{\\sqrt{x+1}}\\)
\n(4) \\(\\sqrt{x+1}\\)
\n\u0bb5\u0bbf\u0b9f\u0bc8:
\n(1) \\(\\frac{1}{x+1}\\)<\/p>\n

\u0b95\u0bc1\u0bb1\u0bbf\u0baa\u0bcd\u0baa\u0bc1:
\n\"Samacheer
\n\"Samacheer<\/p>\n

\"Samacheer<\/p>\n

\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 22.
\n\u0b8f\u0ba4\u0bc7\u0ba9\u0bc1\u0bae\u0bcd \u0b92\u0bb0\u0bc1 \u0bb5\u0bb0\u0bc1\u0b9f\u0bae\u0bcd – \u0bb2\u0bcd \u0b89\u0bb3\u0bcd\u0bb3 P-\u0ba9\u0bcd \u0baa\u0bc6\u0bb0\u0bc1\u0b95\u0bcd\u0b95 \u0bb5\u0bc0\u0ba4\u0bae\u0bbe\u0ba9\u0ba4\u0bc1 \u0bae\u0b95\u0bcd\u0b95\u0bb3\u0bcd \u0ba4\u0bca\u0b95\u0bc8\u0b95\u0bcd\u0b95\u0bc1 \u0bb5\u0bbf\u0b95\u0bbf\u0ba4\u0bae\u0bbe\u0b95 \u0b85\u0bae\u0bc8\u0baf\u0bc1\u0bae\u0bcd \u0b8e\u0ba9\u0bbf\u0bb2\u0bcd, \u0baa\u0bbf\u0ba9\u0bcd\u0ba9\u0bb0\u0bcd
\n(1) P = Cekt<\/sup>
\n(2) P = Ce-kt<\/sup>
\n(3) P = Ckt
\n(4) P = C
\n\u0bb5\u0bbf\u0b9f\u0bc8:
\n(1) P = Cekt<\/sup>
\n\u0b95\u0bc1\u0bb1\u0bbf\u0baa\u0bcd\u0baa\u0bc1 :
\n\"Samacheer<\/p>\n

\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 23.
\nt \u0b8e\u0ba9\u0bc1\u0bae\u0bcd \u0ba8\u0bc7\u0bb0\u0ba4\u0bcd\u0ba4\u0bbf\u0bb1\u0bcd\u0b95\u0bc1\u0baa\u0bcd \u0baa\u0bbf\u0bb1\u0b95\u0bc1 \u0bae\u0bc0\u0ba4\u0bae\u0bc1\u0bb3\u0bcd\u0bb3 \u0b92\u0bb0\u0bc1 \u0baa\u0bca\u0bb0\u0bc1\u0bb3\u0bbf\u0ba9\u0bcd \u0b85\u0bb3\u0bb5\u0bc1 P \u0b86\u0b95\u0bc1\u0bae\u0bcd. \u0baa\u0bca\u0bb0\u0bc1\u0bb3\u0bcd \u0b86\u0bb5\u0bbf\u0baf\u0bbe\u0b95\u0bc1\u0bae\u0bcd \u0bb5\u0bc0\u0ba4\u0bae\u0bbe\u0ba9\u0ba4\u0bc1 \u0b85\u0ba8\u0bcd\u0ba8\u0bc7\u0bb0\u0ba4\u0bcd\u0ba4\u0bbf\u0bb2\u0bcd \u0bae\u0bc0\u0ba4\u0bae\u0bbf\u0bb0\u0bc1\u0b95\u0bcd\u0b95\u0bc1\u0bae\u0bcd \u0baa\u0bca\u0bb0\u0bc1\u0bb3\u0bbf\u0ba9\u0bcd \u0b85\u0bb3\u0bb5\u0bbf\u0bb1\u0bcd\u0b95\u0bc1 \u0bb5\u0bbf\u0b95\u0bbf\u0ba4\u0bae\u0bbe\u0b95 \u0b85\u0bae\u0bc8\u0ba8\u0bcd\u0ba4\u0bc1\u0bb3\u0bcd\u0bb3\u0ba4\u0bc1 \u0b8e\u0ba9\u0bbf\u0bb2\u0bcd, \u0baa\u0bbf\u0ba9\u0bcd\u0ba9\u0bb0\u0bcd
\n(1) P = Cekt<\/sup>
\n(2) P = Ce-kt<\/sup>
\n(3) P = Ckt
\n(4) Pt = C
\n\u0bb5\u0bbf\u0b9f\u0bc8:
\n(2) P = Ce-kt<\/sup>
\n\u0b95\u0bc1\u0bb1\u0bbf\u0baa\u0bcd\u0baa\u0bc1:
\n\"Samacheer<\/p>\n

\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 24.
\n\\(\\frac{d y}{d x}=\\frac{a x+3}{2 y+f}\\) \u0b8e\u0ba9\u0bc1\u0bae\u0bcd \u0bb5\u0b95\u0bc8\u0b95\u0bcd\u0b95\u0bc6\u0bb4\u0bc1\u0b9a\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0ba4\u0bc0\u0bb0\u0bcd\u0bb5\u0bc1 \u0b92\u0bb0\u0bc1 \u0bb5\u0b9f\u0bcd\u0b9f\u0ba4\u0bcd\u0ba4\u0bc8\u0b95\u0bcd \u0b95\u0bc1\u0bb1\u0bbf\u0b95\u0bcd\u0b95\u0bc1\u0bae\u0bbe\u0ba9\u0bbe\u0bb2\u0bcd, a-\u0ba9\u0bcd \u0bae\u0ba4\u0bbf\u0baa\u0bcd\u0baa\u0bc1
\n(1) 2
\n(2) -2
\n(3) 1
\n(4) -1
\n\u0bb5\u0bbf\u0b9f\u0bc8:
\n(2) 2
\n\u0b95\u0bc1\u0bb1\u0bbf\u0baa\u0bcd\u0baa\u0bc1:
\n\"Samacheer
\n\u0b87\u0ba4\u0bc1 \u0bb5\u0b9f\u0bcd\u0b9f\u0ba4\u0bcd\u0ba4\u0bc8 \u0b95\u0bc1\u0bb1\u0bbf\u0baa\u0bcd\u0baa\u0ba4\u0bbe\u0bb2\u0bcd x2<\/sup> \u0b87\u0ba9\u0bcd \u0b95\u0bc6\u0bb4\u0bc1 = y2<\/sup> \u0b87\u0ba9\u0bcd \u0b95\u0bc6\u0bb4\u0bc1
\n\\(\\frac{a}{2}\\) = -1 \u21d2 a = -2<\/p>\n

\"Samacheer<\/p>\n

\u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 25.
\ny = f(x) \u0b8e\u0ba9\u0bc1\u0bae\u0bcd \u0bb5\u0bb3\u0bc8\u0bb5\u0bb0\u0bc8\u0baf\u0bbf\u0ba9\u0bcd \u0b8f\u0ba4\u0bc7\u0ba9\u0bc1\u0bae\u0bcd \u0b92\u0bb0\u0bc1 \u0baa\u0bc1\u0bb3\u0bcd\u0bb3\u0bbf\u0baf\u0bbf\u0b9f\u0ba4\u0bcd\u0ba4\u0bc1 \u0b9a\u0bbe\u0baf\u0bcd\u0bb5\u0bc1 \\(\\frac{d y}{d x}\\) = 3x2<\/sup> \u0b8e\u0ba9\u0b95\u0bcd \u0b95\u0bca\u0b9f\u0bc1\u0b95\u0bcd\u0b95\u0baa\u0bcd \u0baa\u0b9f\u0bcd\u0b9f\u0bc1\u0bb3\u0bcd\u0bb3\u0ba4\u0bc1. \u0bae\u0bc7\u0bb2\u0bc1\u0bae\u0bcd \u0bb5\u0bb3\u0bc8\u0bb5\u0bb0\u0bc8\u0baf\u0bbe\u0ba9\u0ba4\u0bc1 (-1, 1) \u0baa\u0bc1\u0bb3\u0bcd\u0bb3\u0bbf \u0bb5\u0bb4\u0bbf\u0baf\u0bbe\u0b95\u0b9a\u0bcd \u0b9a\u0bc6\u0bb2\u0bcd\u0b95\u0bbf\u0bb1\u0ba4\u0bc1 \u0b8e\u0ba9\u0bbf\u0bb2\u0bcd, \u0bb5\u0bb3\u0bc8\u0bb5\u0bb0\u0bc8\u0baf\u0bbf\u0ba9\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1
\n(1) y = x3<\/sup> + 2
\n(2) y = 3x2<\/sup> + 4
\n(3) y = 3x3<\/sup> + 4
\n(4) y = x3<\/sup> + 5
\n\u0bb5\u0bbf\u0b9f\u0bc8:
\n(1) y = x3<\/sup> + 2<\/p>\n

\u0b95\u0bc1\u0bb1\u0bbf\u0baa\u0bcd\u0baa\u0bc1 :
\n\\(\\frac{d y}{d x}\\) = 3x2<\/sup>
\n\u21d2 dy = 3x2<\/sup> dx \u21d2 y = \\(\\frac{3 x^{3}}{3}\\) + c
\n\u0b87\u0ba4\u0bc1 (-1, 1) \u0b8e\u0ba9\u0bcd\u0bb1 \u0baa\u0bc1\u0bb3\u0bcd\u0bb3\u0bbf \u0bb5\u0bb4\u0bbf \u0b9a\u0bc6\u0bb2\u0bcd\u0bb5\u0ba4\u0bbe\u0bb2\u0bcd,
\n1 = (-1)3<\/sup> + c \u21d2 1 = -1 + c \u21d2 c = 2
\n\u2234 \u0bb5\u0bb3\u0bc8\u0bb5\u0bb0\u0bc8\u0baf\u0bbf\u0ba9\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1 y = x3<\/sup> + 2<\/p>\n","protected":false},"excerpt":{"rendered":"

Tamilnadu State Board New Syllabus\u00a0Samacheer Kalvi 12th Maths Guide Pdf Chapter 10 \u0b9a\u0bbe\u0ba4\u0bbe\u0bb0\u0ba3 \u0bb5\u0b95\u0bc8\u0b95\u0bcd\u0b95\u0bc6\u0bb4\u0bc1\u0b9a\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1\u0b95\u0bb3\u0bcd Ex 10.9 Textbook Questions and Answers, Notes. TN Board 12th Maths Solutions Chapter 10 \u0b9a\u0bbe\u0ba4\u0bbe\u0bb0\u0ba3 \u0bb5\u0b95\u0bc8\u0b95\u0bcd\u0b95\u0bc6\u0bb4\u0bc1\u0b9a\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bc1\u0b95\u0bb3\u0bcd Ex 10.9 \u0b95\u0bca\u0b9f\u0bc1\u0b95\u0bcd\u0b95\u0baa\u0bcd\u0baa\u0b9f\u0bcd\u0b9f \u0ba8\u0bbe\u0ba9\u0bcd\u0b95\u0bc1 \u0bae\u0bbe\u0bb1\u0bcd\u0bb1\u0bc1 \u0bb5\u0bbf\u0b9f\u0bc8\u0b95\u0bb3\u0bbf\u0bb2\u0bbf\u0bb0\u0bc1\u0ba8\u0bcd\u0ba4\u0bc1 \u0b9a\u0bb0\u0bbf\u0baf\u0bbe\u0ba9 \u0b85\u0bb2\u0bcd\u0bb2\u0ba4\u0bc1 \u0bae\u0bbf\u0b95\u0bb5\u0bc1\u0bae\u0bcd \u0b8f\u0bb1\u0bcd\u0baa\u0bc1\u0b9f\u0bc8\u0baf \u0bb5\u0bbf\u0b9f\u0bc8\u0baf\u0bbf\u0ba9\u0bc8\u0ba4\u0bcd \u0ba4\u0bc7\u0bb0\u0bcd\u0ba8\u0bcd\u0ba4\u0bc6\u0b9f\u0bc1\u0b95\u0bcd\u0b95\u0bb5\u0bc1\u0bae\u0bcd: \u0b95\u0bc7\u0bb3\u0bcd\u0bb5\u0bbf 1. \u0b8e\u0ba9\u0bc1\u0bae\u0bcd \u0bb5\u0b95\u0bc8\u0b95\u0bcd\u0b95\u0bc6\u0bb4\u0bc1\u0b9a\u0bcd \u0b9a\u0bae\u0ba9\u0bcd\u0baa\u0bbe\u0b9f\u0bcd\u0b9f\u0bbf\u0ba9\u0bcd \u0bb5\u0bb0\u0bbf\u0b9a\u0bc8 \u0bae\u0bb1\u0bcd\u0bb1\u0bc1\u0bae\u0bcd \u0baa\u0b9f\u0bbf \u0bae\u0bc1\u0bb1\u0bc8\u0baf\u0bc7 (1) 2, …<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":"","footnotes":""},"categories":[8],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/posts\/50402"}],"collection":[{"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/comments?post=50402"}],"version-history":[{"count":0,"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/posts\/50402\/revisions"}],"wp:attachment":[{"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/media?parent=50402"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/categories?post=50402"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/tags?post=50402"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}