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
The existence of unique solution of the system of
equations x + y = λ and 5x + ky = 2 depends on:
1
Statement 1: The function f(x) is increasing in , 2 . λ
2
- λ only
- =1 k Statement 2: The function f(x) is strictly increasing in
- both k and λ
- k only 1 (vii) A cylindrical popcorn tub of radius 10 cm is being 2 , 1. filled with popcorns at the rate of 314 cm3 per minute. Which of the following is correct with respect to the The level of the popcorns in the tub is increasing at the rate of: Question 3 (a) 1 cm/minute (b) 0.1 cm/minute Find the value of tan-1 x - cot-1 x, if (tan-1x)2 - (c) 1.1 cm/minute (d) 0.5 cm/minute 5π (cot-1x) = x+2 x<0 8
Board paper · 2025 · Oswaal Books (reproduction of CISCE board paper)
No answer recorded yet
Khojo Papers does not generate answers. This question will show one when a checked answer has been added, with its source stated.
Related questions
From the same topic and chapter, at a similar level.
(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

