NDA questions
2295 published questions with worked solutions.
- If the position vectors of A and B are ( 2 -1) i - j and i +( 2 +1) j respectively, then what is the magnitude of AB ?
- If y=(1+x)(1+x^2)(1+x^4)(1+x^8)(1+x^ 16 ) then what is dy dx at x=0 equal to?
- If y= x 4x 8x, then what is 1 y dy dx at x= 4 equal to?
- Let f(x) be a polynomial function such that f f(x)=x^4. What is f'(1) equal to?
- What is _ n a^n+b^n a^n-b^n where a>b>1, equal to?
- Let f(x)= cases 1+ x 2k , & 0<x<2 kx, & 2 x<4 cases If _ x 2 f(x) exists, then what is the value of k?
- Consider the following statements in respect of f(x)=|x|-1 : 1. f(x) is continuous at x=1. 2. f(x) is differentiable at x=0....
- If f(x)= [x] |x| , x 0, where [ ] denotes the greatest integer function, then what is the right-hand limit of f(x) at x=1?
- Consider the following statements in respect of the function f(x)= ( 1 x^2 ), x 0 : 1. It is continuous at x=0, if f(0)=0. 2. It...
- What is the range of the function f(x)=1- x defined on entire real line?
- What is the slope of the tangent of y= ^ -1 ( x) at x=- 4 ?
- What is the integral of f(x)=1+x^2+x^4 with respect to x^2?
- Consider the following statements in respect of the function f(x)=x^2+1 in the interval (1, 2) : 1. The maximum value of the...
- If f(x) satisfies f(1)=f(4), then what is _1^4f'(x) ,dx equal to?
- What is _0^ 2 e^ ( x) ,dx equal to?
- If 1- 2x ,dx=A x+B x+C, where 0<x< 4 , then which one of the following is correct?
- What is the order of the differential equation of all ellipses whose axes are along the coordinate axes?
- What is the degree of the differential equation of all circles touching both the coordinate axes in the first quadrant?
- What is the differential equation of y=A- B x ?
- What is _0^ ( x 2 )dx equal to?