JEE Advanced questions
3844 published questions with worked solutions.
- If x [-1, 1] then the minimum value of f(x) = x^2 + x + 1 is
- Let f(x) = 43 x^3 - 4x, 0 x 2. Then the global minimum value of the function is
- Let f(x) = 6 - 12x + 9x^2 - 2x^3, 1 x 4. Then the absolute maximum value of f(x) in the interval is
- If f(x) = _0^x (t^2 + 2t + 2) ,dt, 2 x 4, then
- Let the interval I = [-1, 4] and f : I R be a function such that f(x) = x^3 - 3x. Then the range of the function is
- The range of the function f(x) = |2x + 1| - 2|x - 1|, x R, is
- Let the function f(x) be defined as follows: f(x) = cases x^3 + x^2 - 10x, & -1 x < 0 x, & 0 x < 2 1 + x, & 2 x . cases Then f(x)...
- Let f(x) be a function defined as below: f(x) = cases (x^2 - 3x), & x 0 6x + 5x^2, & x > 0. cases Then at x = 0, f(x)
- Let f : R R be a function such that f(x) = ax + 3 x + 4 x. Then f(x) is invertible if
- The function f(x) = x^3 + x^2 + 5x + 2x will be an invertible function if belongs to
- The value of c in Lagrange's theorem for the function |x| in the interval [-1, 1] is
- The equation x + x x = 0 has at least one root in the interval
- If 4a + 2b + c = 0 then the equation 3ax^2 + 2bx + c = 0 has at least one real root lying between
- If the equation a_n x^n + a_ n-1 x^ n-1 + + a_1 x = 0, a_1 0, n 2, has a positive root then the equation na_n x^ n-1 + (n-1)a_...
- Let h(x) = f(x) - f(x) ^2 + f(x) ^3 for all real values of x. Then
- If f(x) = x, - /2 x /2, then
- Let f(x) = 2 ^3 x - 3 ^2 x + 12 x + 5, 0 x /2. Then f(x) is
- Let f(x) = -2x^3 + 21x^2 - 60x + 41. Then
- Let f(x) = x^2 + 1 [x] , 1 x 3.9. [ ] denotes the greatest integer function. Then
- Let f(x) = |x^2 - 3x - 4|, -1 x 4. Then