5] In subparts (i) and (ii) choose the correct options and in subparts (iii) to (v), answer the questions as instructed.
Which condition is true if Average Cost (AC) is constant at all levels of output?

Evaluate: ∫ ( log x ) dx
 x -3 0 
symmetric matrix? Question 9

(a) Statement 1 is true and Statement 2 is false. In subparts (i) to (xi) choose the correct options and (b) Statement 2 is true and Statement 1 is false. in subparts (xii) to (xv), answer the questions as (c) Both the statements are true. instructed. (d) Both the statements are false. 0 a  16 1x -1
If A =   , then A is: (iv) ∫ 2 dx is equal to:
0 0  0 x +1

Write the smallest equivalence relation from the set
cos x
A to A, where A = {1, 2, 3}. (i) Evaluate: ∫ dx
3cos x - 5
 0 1 -2 
 OR

For what value of x, is A =  -1 0 3  a skew

2] 5 10 2  2 x +1 3x 
Statement 1: If ‘A’ is an invertible matrix, then (A2)-1
of the differential equation (1 + x2) dy + (1 + y2)
= (A-1)2
dx = 0
Statement 2: If ‘A’ is an invertible matrix, then |A-1|

(a) Statement 1 is true and Statement 2 is false. In subparts (i) to (xi) choose the correct options and (b) Statement 2 is true and Statement 1 is false. in subparts (xii) to (xv), answer the questions as (c) Both the statements are true. instructed. (d) Both the statements are false. 0 a  16 1x -1
Which of the following is a homogenous differential -2
equation? (c) (d) 0
(a) (4x2 + 6y + 5) dy - (3y2 + 2x + 4) dx = 0