JEE Advanced questions
3844 published questions with worked solutions.
- Let x be a number which exceeds its square by the greatest possible quantity. Then x is equal to
- The sum of two nonzero numbers is 8. The minimum value of the sum of their reciprocals is
- In a ABC, B = 90^ and b + a = 4. The area of the triangle is the maximum when C isNot in JEE syllabus
- The point (0, 3) is nearest to the curve x^2 = 2y at
- If , be real numbers such that x^3 - x^2 + x - 6 = 0 has its roots real and positive then the minimum value of is
- Let f(x) = x + x^ -1 . Then
- Let f(x) = ax^3 + bx^2 + cx + 1 have extrema at x = , such that < 0 and f( ) f( ) < 0. Then the equation f(x) = 0 has
- The critical point(s) of f(x) = |2-x| x^2 is(are)
- The value of x for which the function f(x) = _0^x (1 - t^2)e^ -t^2/2 ,dt has an extremum is
- Let f(x) = x^3 + 3x^2 + 3x + 2. Then, at x = -1
- The function f(x) = x^2 + x has a
- Let f(x) = (x-1)^4 (x-2)^n, n N. Then f(x) has
- If f(x) = x^3 + 4x^2 + x + 1 is a monotonically decreasing function of x in the largest possible interval (-2, -2/3) then
- The function f(x) = ^4 x + ^4 x increases if
- If f(x) = x x and g(x) = x x , where 0 < x 1, then in the interval
- The function f(x) = ^ -1 x - x is monotonically decreasing in the set
- Let f(x) = ^ -1 (x) , where (x) is m.i. for 0 < x < /2. Then f(x) is
- If f(x) = p^2 - 1 p^2 + 1 x^3 - 3x + 2 is a decreasing function of x in R then the set of possible values of p (independent of x)...
- If f(x) = (ab - b^2 - 2)x + _0^x ( ^4 + ^4 ) ,d is a decreasing function of x for all x R and b R, b being independent of x, then
- Let f(x) = x + 10x + 3x^2 + x^3, -2 x 3. The absolute minimum value of f(x) is