NDA questions
2827 published questions with worked solutions.
- 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?
- Where does the tangent to the curve y=e^x at the point (0, 1) meet x-axis?
- Consider the following statements in respect of the function f(x)=x+ 1 x : 1. The local maximum value of f(x) is less than its...
- What is the maximum area of a rectangle that can be inscribed in a circle of radius 2 units?
- What is dx x(x^2+1) equal to?
- What is the condition that f(x)=x^3+x^2+kx has no local extremum?
- If f(x)=2^x, then what is _2^ 10 f'(x) f(x) ,dx equal to?
- If _ -2 ^0f(x) ,dx=k, then _ -2 ^0|f(x)| ,dx is
- If the function f(x)=x^2-kx is monotonically increasing in the interval (1, ), then which one of the following is correct?
- What is the area bounded by y=[x], where [ ] is the greatest integer function, the x-axis and the lines x=-1 5 and x=-1 8?
- The tangent to the curve x^2=y at (1, 1) makes an angle with the positive direction of x-axis. Which one of the following is...