JEE Advanced questions
3844 published questions with worked solutions.
- If the line ax + by + c = 0 is a normal to the rectangular hyperbola xy = 1 then
- A tangent to the curve y = _ 0 ^ x |t| ,dt, which is parallel to the line y = x, cuts off an intercept from the y-axis equal to
- If xy = a^2 and S = b^2x + c^2y where a, b and c are constants then the minimum value of S is
- The global minimum value of f(x) = x^4 - x^2 - 2x + 6 is
- The maximum value of f(x) = 3 ^2x + 4 ^2x + x 2 + x 2 is
- If a > b > 0, the minimum value of a - b is
- The number of values of x where the function f(x) = x + ( 2 ,x) attains its maximum is
- The function f(x) = x 1 + x x has
- Let f(x) = e^x x be the equation of a curve. If at x = a, 0 a 2 , the slope of the tangent is the maximum then the value of a is
- Let the tangent to the graph of y = f(x) at the point x = a be parallel to the x-axis, and let f'(a-h) > 0 and f'(a+h) < 0, where...
- Let f(x) = x^3 + 3x^2 - 9x + 2. Then
- If f(x) = a _e|x| + bx^2 + x has extremums at x = 1 and x = 3 then
- The maximum value of ( 1x )^ 2x^2 is
- The maximum ordinate of a point on the graph of the function f(x) = x(1 + x) is
- If + = 3 then has a maximum value at =
- Let f(x) = x^3 - 6x^2 + 12x - 3. Then at x = 2, f(x) has
- Let f(x) = (x-p)^2 + (x-q)^2 + (x-r)^2. Then f(x) has a minimum at x = , where is equal to
- Let f(x) = ax + x^2. If it has a maximum at x = -3 then a is
- Let f(x) be a function such that f'(a) 0. Then at x = a, f(x)
- Let the function f(x) be defined as below. f(x) = cases ^ -1 + x^2, & 0 < x < 1 2x, & x 1 cases f(x) can have a minimum at x = 1...