NDA MATHS QUESTION BANK
A balloon is pumped at the rate of 4 /s. What is the rate at which its surface area increases when its radius is 4cm? (a) 1 /s ...
What is the product of two parts of 20 such that the product of one part and the cube of the other is maximum? (a) 75 (b) 91 (c ...
The solution of √^ (^) is: (a) (b) √ (c) √ (d) √ 10. In order to solve the differential equation x cos x^ + y (x sin x + cos x ...
If the solution of the differential equation^ represents a circle, then what is the value of a? (a) 2 (b) 1 (c) -2 (d) - 1 Wh ...
What does the equation x dy= y dx represent? (a) A family of circles (b) A family of parabolas (c) A family of hyperbolas (d) ...
What is the only solution of the initial equation problem y’= t(1 + y), y(0)= 0? (a) y= -1 + (b) y= 1 + (c) y= - t (d) y= t W ...
DIFFERENTIATION [ ( √ (^) √ √ )] is equal to: (a) (^) √ (^ ) (^) √ (b) √ (^2) √ √ ( ) 3 (c) √ √ (^ ) (d) √ ( )( ) If x= a Ѳ, ...
If x= cos t, y= sin t, then what is^ (^) equal to? (a) (b) (c) - (d) - What is the derivative of f(x)= x| |? (a) | |+x (b) 2x ...
If + = , then what is^ equal to? (a)^ (b) ( ) (c) (d) If f(x)= , then what is f ’ (x)equal to? (a) 4 x sin ( ) cos ( ) (b) 2 ...
If f(x)= cos x - , then ∫ ( ) dx is equal to: (a) tan^ (b) x + tan^ (c) x - tan^ (d) x - tan^ The value of the integral∫. ( ) ...
What is the value of integral ∫ ( ) ∫ 4 5 (^) dx? (a) + c (b) ( ) (c) x ( ) (d). / If ∫ | ( )| , then what is the value of g( ...
What is ∫ (a)^ (^) C (b) C (c) C^ (d)^ (^) C^ What is ∫^ (^) ( ) ( )^ dx equal to?^ (a) (b) cos ( )^ + C (c) tan ( ) + C ( ...
(d) 2 In ( (^) √ ) + C If f(x) is an even function, what is ∫ (^ )^ equal to?^ (a) 0 (b) ∫ ⁄^ ( ) (c) 2 ∫ ⁄^ ( ) (d) 1 What i ...
LIMITS AND DERIVATIVES The value of (^ ) is: (a) 10/3 (b) 3/10 (c) 6/5 (d) 5/6 The value of ⁄ (^) (a) 0 (b) 1/3 (c) 1/6 (d) ...
(d) The limit does not exist Let f(x)= √. What is the value of (^ ) (^ )? (a) 0 (b) - (c)^ (d)^ Let f (x+y)= f (x). f (y) and ...
What is (^) (a, b are constants) equal to? (a) 0 (b) a (c)^ (d) Doesn’t exist^ If f(x)= 2 is continuous at x=2, then what is ...
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