You can Download Samacheer Kalvi 11th Maths Book Solutions Guide Pdf, Tamilnadu State Board help you to revise the complete Syllabus and score more marks in your examinations.

Tamilnadu Samacheer Kalvi 11th Maths Solutions Chapter 2 Basic Algebra Ex 2.8

Question 1.
Find all values of x for which \(\frac{x^{3}(x-1)}{(x-2)}\) > 0
Solution:
Samacheer Kalvi 11th Maths Solutions Chapter 2 Basic Algebra Ex 2.8 1
Now we have to find the signs of
x3, x – 1 and x – 2 as follows
x3 = 0; x – 1 = 0 ⇒ x = 1; x – 2 = 0 ⇒ x = 2
Plotting the points in a number line and finding intervals
Samacheer Kalvi 11th Maths Solutions Chapter 2 Basic Algebra Ex 2.8 2
So the solution set = (0, 1) ∪ (2, ∞)
Samacheer Kalvi 11th Maths Solutions Chapter 2 Basic Algebra Ex 2.8

Question 2.
Samacheer Kalvi 11th Maths Solutions Chapter 2 Basic Algebra Ex 2.8 3
Solution:
Samacheer Kalvi 11th Maths Solutions Chapter 2 Basic Algebra Ex 2.8 4
Plotting the points 3/2, 2 and 4 on the number line and taking the intervals.
Samacheer Kalvi 11th Maths Solutions Chapter 2 Basic Algebra Ex 2.8 5

Samacheer Kalvi 11th Maths Solutions Chapter 2 Basic Algebra Ex 2.8

Question 3.
Samacheer Kalvi 11th Maths Solutions Chapter 2 Basic Algebra Ex 2.8 6
Solution:
Samacheer Kalvi 11th Maths Solutions Chapter 2 Basic Algebra Ex 2.8 7
Samacheer Kalvi 11th Maths Solutions Chapter 2 Basic Algebra Ex 2.8 70

Samacheer Kalvi 11th Maths Solutions Chapter 2 Basic Algebra Ex 2.8 Additional Questions

Question 1.
Samacheer Kalvi 11th Maths Solutions Chapter 2 Basic Algebra Ex 2.8 8
Solution:
Samacheer Kalvi 11th Maths Solutions Chapter 2 Basic Algebra Ex 2.8 9
Samacheer Kalvi 11th Maths Solutions Chapter 2 Basic Algebra Ex 2.8 10