JEE Advanced questions
3844 published questions with worked solutions.
- If P(x) is a polynomial such that P(x^2+1) = P(x) ^2 + 1 and P(0) = 0 then P'(0) is equal to
- If 5f(x) + 3f ( 1x ) = x + 2 and y = xf(x) then ( dy dx )_ x=1 is equal to
- If for all x, y the function f is defined by f(x) + f(y) + f(x) f(y) = 1 and f(x)>0 then
- There exists a function f(x) satisfying f(0) = 1, f'(0) = -1, f(x)>0 for all x and
- Let f(x) be a polynomial function of degree 2 and f(x)>0 for all x R . If g(x) = f(x) + f'(x) + f''(x) then for any x
- If y^2 = P(x) = a polynomial of degree 3 then 2 d dx (y^3 d^2y dx^2 ) equals
- Let f(x) = vmatrix x^3 & x & x 6 & -1 & 0 p & p^2 & p^3 vmatrix , where p is a constant. Then d^3 dx^3 f(x) at x=0 is
- If y = 2x then d^6y dx^6 at x = 2 is equal to
- x = t t, y = t + t; then d^2x dy^2 at t = 2 is equal to
- If y = at^2, x = 2at, where a is a constant, then d^2y dx^2 at x = 12 is
- Let f(x) = 2 ^ -1 x + ^ -1 2x 1+x^2 . Then
- If f(x) = x^3 + x^2f'(1) + xf''(2) + f'''(3) for all x R then
- If f(x-y), f(x) f(y) and f(x+y) are in AP for all x, y, and f(0) 0, then
- Let f(-x) = f(x). Then f'(x) must be
- If f_n(x) = e^ f_ n-1 (x) for all n N and f_0(x) = x then d dx f_n(x) is equal to
- Let f(x) = x^2 + xg'(1) + g''(2) and g(x) = f(1) x^2 + xf'(x) + f''(x) then
- _ x 2 x-2 + x - 2 x^ 2 -4 is equal to
- _ x ( x+ x - x ) is equal to
- _ n a^ n +b^ n a^ n -b^ n , where a>b>1, is equal to
- _ x 0 3^ x -1 x+1 -1 is equal to