NDA questions
2204 published questions with worked solutions.
- Let f(x)=px+q and g(x)=mx+n. Then f(g(x))=g(f(x)) is equivalent to
- If F(x)= 9-x^2 , then what is _ x 1 F(x)-F(1) x-1 equal to?
- What is d^2x dy^2 equal to?
- Let f(x) : cases x, & x is rational 0, & x is irrational cases and g(x) : cases 0, & x is rational , & x is irrational cases If f...
- What is the length of the longest interval in which the function f(x)=3 x-4 ^3x is increasing?
- If x ,dy=y(dx+y ,dy); y(1)=1 and y(x)>0, then what is y(-3) equal to?
- Let f(x) be an indefinite integral of ^2x. Consider the following statements : Statement 1 : The function f(x) satisfies f(x+...
- What are the degree and order respectively of the differential equation y=x ( dy dx )^2+ ( dx dy )^2?
- What is the differential equation corresponding to y^2-2ay+x^2=a^2 by eliminating a? (where p= dy dx )
- What is the general solution of the differential equation y ,dx-(x+2y^2) ,dy=0?
- If f(x) and g(x) are continuous functions satisfying f(x)=f(a-x) and g(x)+g(a-x)=2, then what is _ 0 ^ a f(x)g(x) ,dx equal to?
- What is the solution of the differential equation ( dy dx )-a=0?
- Let f(x) be defined as follows : f(x)= cases 2x+1, & -3<x<-2 -1, & -2 x<0 +2, & 0 x<1 cases Which one of the following statements...
- Consider the following statements : 1. If _ x a f(x) and _ x a g(x) both exist, then _ x a f(x)g(x) exists. 2. If _ x a f(x)g(x)...
- Which one of the following functions is neither even nor odd?
- What is the derivative of _ 10 (5x^2+3) with respect to x?
- Let f(x)=x+ 1 x , where x (0, 1). Then which one of the following is correct?
- Suppose the function f(x)=x^n, n 0 is differentiable for all x. Then n can be any element of the interval
- What is _ e^ -1 ^ e^2 | x x |dx equal to?
- The variance of 20 observations is 5. If each observation is multiplied by 3, then what is the new variance of the resulting...