NDA questions
2204 published questions with worked solutions.
- If _ x 2 x x =l and _ x x x =m, then which one of the following is correct?
- What is _ 0 ^ 2 1+ x 2 ,dx equal to?
- The area bounded by the curve |x|+|y|=1 is
- The left-hand derivative of f(x)=[x] ( x) at x=k where k is an integer and [x] is the greatest integer function, is
- If f(x)= x 2 -1, then on the interval [0, ] which one of the following is correct?
- The order and degree of the differential equation [1+ ( dy dx )^2 ]^3= ^2 [ d^2y dx^2 ]^2 are respectively
- If y= ^ -1 ( 2x 1+x^2 ), then dy dx is equal to
- The set of all points, where the function f(x)= 1-e^ -x^2 is differentiable, is
- Match List-I with List-II and select the correct answer using the code given below the lists : List-I (Function): A. x+ x B. 3...
- If f(x)=x ( x - x+1 ), then f(x) is
- ( x)^ -1 dx- ( x)^ -2 dx is equal to
- A cylindrical jar without a lid has to be constructed using a given surface area of a metal sheet. If the capacity of the jar is...
- Let g be the greatest integer function. Then the function f(x)=(g(x))^2-g(x^2) is discontinuous at
- The differential equation of minimum order by eliminating the arbitrary constants A and C in the equation y=A[ (x+C)+ (x+C)] is
- Consider the following statements : Statement I : x> x for all x>0 Statement II : f(x)=x- x is an increasing function for all x>0...
- The solution of the differential equation dy dx = y '(x)-y^2 (x) is
- If f(x)= 4x+x^4 1+4x^3 and g(x)= ( 1+x 1-x ), then what is the value of f g ( e-1 e+1 ) equal to?
- The value of the determinant vmatrix 1- & - ^2& ^2 1- & - ^2& ^2 1- & - ^2& ^2 vmatrix is equal to
- The adjoint of the matrix A= bmatrix 1&0&2 2&1&0 0&3&1 bmatrix is
- If A= pmatrix -2&2 2&-2 pmatrix , then which one of the following is correct?