NDA questions
2827 published questions with worked solutions.
- Consider the following statements : 1. The cross product of two unit vectors is always a unit vector. 2. The dot product of two...
- If _ x a a^x-x^a x^a-a^a =-1 then what is the value of a?
- What is _0^a f(a-x) f(x)+f(a-x) ,dx equal to?
- What is _ x -1 x^3+x^2 x^2+3x+2 equal to?
- If _0^a[f(x)+f(-x)] ,dx= _ -a ^ag(x) ,dx then what is g(x) equal to?
- What is the area bounded by y= 16-x^2 , y 0 and the x-axis?
- The curve y=-x^3+3x^2+2x-27 has the maximum slope at
- A 24 cm long wire is bent to form a triangle with one of the angles as 60°. What is the altitude of the triangle having the...Not in JEE syllabus
- If f(x)=e^ |x| , then which one of the following is correct?
- What is dx x+ x equal to?
- What is dx ^2( ^ -1 x) equal to?
- If x+y=20 and P=xy, then what is the maximum value of P?
- What is the derivative of ( x)+ ( x) with respect to x at x=e?
- If x=e^t t and y=e^t t, then what is dx dy at t=0 equal to?
- What is the maximum value of 2x 2x?
- If a differentiable function f(x) satisfies _ x -1 f(x)+1 x^2-1 =- 3 2 then what is _ x -1 f(x) equal to?
- If the function f(x)= cases a+bx, & x<1 5, & x=1 b-ax, & x>1 cases is continuous, then what is the value of (a+b)?
- Consider the following statements in respect of the function f(x)= x : 1. f(x) increases in the interval (0, ). 2. f(x) decreases...
- What is the domain of the function f(x)=3^x?
- If the general solution of a differential equation is y^2+2cy-cx+c^2=0, where c is an arbitrary constant, then what is the order...