NDA questions
2295 published questions with worked solutions.
- Let a , b and c be unit vectors such that a b = a c =0. If the angle between b and c is /6, then what is a equal to?
- What is x 1-x^3 ,dx equal to?
- What is _ 0 ^ 1 dx (ax+bx+c)^2 equal to?
- What is e^ x 10 e^x ,dx equal to?
- What is _ 1 ^ 2 x^x(1+ x) ,dx equal to?
- If f(x+y)=f(x)+f(y), then what is _ -1 ^ 1 f(x) ,dx equal to?
- What is the area bounded by y=e^ |x| and the lines |x|=1 and y=0?
- The slope of the tangent to the curve y=f(x) at (x, f(x)) is 2x. If the curve passes through the origin, then what is the area...
- What is the solution of y ,dx-x ,dy-y^2 x ,dx=0?
- What is the differential equation of the family of straight lines passing through the origin?
- What is the degree of the differential equation representing the family of curves y^2= c ,x, where c is a positive parameter?
- What is the domain of the function f(x)= _xe?
- If f(x) is the integral of 1+ ^2x-2 x x ^2x x then what is _ x 0 f'(x) equal to?
- Consider the following statements in respect of the function f(x)=[3x], where [ ] is the greatest integer function : I. f(x) is...
- What is _ x 0 ^2x x|x| equal to?
- Let f(x)=p|x|+q, where p and q are real constants. If f'(x) exists at x=0, then what is the value of p?
- Consider the following statements in respect of the given function : f(x)= cases x^3 |x| , & x 0 0, & x=0 cases I. f(x) is...
- What is _ x ( x+ x - x ) equal to?
- If m and n are the roots of the equation x^2-px+q=0, then what is _ x m e^ x^2-px+q -1 (x-m)(x-n) equal to?
- Consider the following statements : I. d dx |x|=- 1 x if x<0 II. d dx |x|= 1 x if x>0 Which of the statements given above is/are...