JEE Advanced questions
3844 published questions with worked solutions.
- If is a nonreal root of x^5 + 1 = 0 then ^ 10n+2 + ^ 5n+2 + ^ 5n , where n is an odd positive integer, has the value
- If the 6th, 11th and 16th terms of a GP are a, b, c respectively then
- Let f(x) = x^3 - 3x + t and f(0), f(1) are of opposite signs. Then the set of values of t is
- If z = 1 + 2 3 + i 2 3 then
- If f(x) = _ =1 ^ n (x - 1 ) (x - 1 +1 ) then _ n f(0) is
- If a, b, c, d are non-negative real numbers where a + b + c + d = 1 then the maximum value of ab + bc + cd is
- If x^3 - mx^2 - 3x + 2 = 0 has two roots equal in magnitude but opposite in sign then m is
- The value of _ j=1 ^ n ( ^ n+1 C_j - ^ n C_j ) is equal to
- If in the triangle ABC the equation of the side BC is x + 2y = 3, the vertex A is (1, 2) and the abscissa of the orthocentre is 3...
- If the circles x^2 + y^2 - 2x = 0 and x^2 + y^2 + 2 y = 4 have only one common tangent then is
- If the algebraic sum of the distances of the points (1, 2), (-3, 1) and (2, -5) from a straight line be equal to zero then the...
- Let ABCDEF be a regular hexagon in the x-y plane and AB = 4 i . Then CD is equal to
- In a ABC, B = 3 . The range of values of x, where x = A C, is the interval
- If f(x + 2) = 12 f(x + 1) + 4 f(x) and f(x) > 0 for all x R then _ x f(x) is
- If I = _ 1/ ^ 1x (x - 1x )dx then I is equal to
- If the equations 4x^2 - x - 1 = 0 and 3x^2 + ( + )x + - = 0 have a common root then the rational values of and are
- If ax^2 + bx + 1 = 0, a R, b R, does not have distinct real roots then the least value of 3a - 2b is
- A square is inscribed in the circle x^2 + y^2 - 2x - 4y = 0 whose sides are parallel to the axes of reference. A vertex of the...
- Let f(x) = ax^2 - bx + c^2, b 0 and f(x) 0 for all x R. Then
- Let f(3) = 4 and f'(3) = 5. Then _ x 3 [f(x)], where [ ] denotes the greatest integer function, is