NDA questions
2827 published questions with worked solutions.
- Let p and q be the position vectors of the points P and Q respectively with respect to origin O. The points R and S divide PQ...
- What is the moment about the point i +2 j - k of a force represented by 3 i + k acting through the point 2 i - j +3 k ?
- If a +2 b +3 c = 0 and a b + b c + c a = ( b c ), then what is the value of ?
- Which one of the following is correct in respect of the function f : R R ^+ defined as f(x)=|x+1|?
- Suppose f : R R is defined by f(x)= x^2 1+x^2 . What is the range of the function?
- If f(x)=|x|+|x-1|, then which one of the following is correct?
- Consider the function f(x)= cases x^2 |x| & x 0 0 & x=0 cases . What is f'(0) equal to?
- What is the area of the region bounded by the parabolas y^2=6(x-1) and y^2=3x?
- What is _ 0 ^ e^x x ,dx equal to?
- If f(x)= x^2-9 x^2-2x-3 , x 3 is continuous at x=3, then which one of the following is correct?
- What is _ 1 ^ e x x ,dx equal to?
- What is _ 0 ^ 2 [x^2] ,dx equal to (where [.] is the greatest integer function)?
- What is the maximum value of 16 -12 ^2 ?
- If f : R S defined by f(x)=4 x-3 x+1 is onto, then what is S equal to?
- What is the solution of the differential equation x ,dy-y ,dx=0?
- What is the derivative of the function f(x)=e^ x + ( x)-e^ x at x= 4 ?
- Which one of the following differential equations has a periodic solution? (where >0)
- What is the period of the function f(x)= x?
- What is dx 2^x-1 equal to?
- The order and degree of the differential equation y^2=4a(x-a), where 'a' is an arbitrary constant, are respectively