NDA questions
2295 published questions with worked solutions.
- If I_1= e^x ,dx e^x+e^ -x and I_2= dx e^ 2x +1 , then what is I_1+I_2 equal to?
- What is _ -2 ^ -1 x |x| ,dx equal to?
- How many extreme values does 4x+2x, where 0<x< 2 have?
- What is the maximum value of the function f(x)= 1 x+ x , where 0<x< 2 ?
- If f(x)=4x+3, then what is f f f(-1) equal to?
- If x^yy^x=1, then what is dy dx at (1, 1) equal to?
- If y=(x^x)^x, then what is the value of dy dx at x=1?
- Let y=[x+1], -4<x<-3 where [.] is the greatest integer function. What is the derivative of y with respect to x at x=-3 5?
- If dy dx =( 5)y with y(0)= 5, then what is y(1) equal to?
- Consider the following in respect of the function f(x)=10^x : 1. Its domain is (- , ) 2. It is a continuous function 3. It is...
- What is _ x 0 x^3( cosec ,x)^2 equal to?
- What is _ x 1 x^3-1 x -1 equal to?
- In which one of the following intervals is the function f(x)= x^3 3 - 7x^2 2 +6x+5 decreasing?
- What is the area included in the first quadrant between the curves y=x and y=x^3?
- If xy=4225 where x, y are natural numbers, then what is the minimum value of x+y?
- What does the equation x dy dx -2y=0 represent?
- What is the equation of the straight line which passes through the point (1, -2) and cuts off equal intercepts from the axes?
- What is the equation of the circle which touches both the axes in the first quadrant and the line y-2=0?
- What is the equation of the parabola with focus (-3, 0) and directrix x-3=0?
- What is the distance between the foci of the ellipse x^2+2y^2=1?