JEE Main questions
34495 published questions with worked solutions.
- Let p, q and r be real numbers (p q, r 0), such that the roots of the equation 1 x+p + 1 x+q = 1 r are equal in magnitude but...
- If p ( p q) is false, then the truth values of p and q are respectively -Not in JEE syllabus
- If an angle A of a satisfies 5 A + 3 = 0, then the roots of the quadratic equation, 9x^2 + 27x + 20 = 0 are -
- If x = 2^ cosec ^ -1 t and y = 2^ ^ -1 t (|t| 1), then dy dx is equal to -
- The coefficient of x^2 in the expansion of the product (2 - x^2) ((1 + 2x + 3x^2)^6 + (1 - 4x^2)^6 ) is -
- The sum of the intercepts on the coordinate axes of the plane passing through the point (–2, –2, 2) and containing the line...
- The differential equation representing the family of ellipse having foci either on the x-axis or on the y-axis, centre at the...
- Let A, B and C be three events, which are pair-wise independent and E denotes the complement of an event E. If P(A B C) = 0 and...
- The number of values of k for which the system of linear equations, (k + 2)x + 10y = k, kx + (k + 3)y = k - 1 has no solution, is...
- If the angle between the lines, x 2 = y 2 = z 1 and 5 - x -2 = 7y - 14 p = z - 3 4 is ^ -1 ( 2 3 ), then p is equal to -
- Let a = i + j + k , c = j - k and a vector b be such that a b = c and a b = 3. Then | b | equals ?
- The least positive integer n for which ( 1 + i 3 1 - i 3 )^n = 1, is ?
- _ x 0 (27 + x)^ 1/3 - 3 9 - (27 + x)^ 2/3 equals -
- If f(x) = _0^x t( x - t) ,dt then
- Let M and m be respectively the absolute maximum and the absolute minimum values of the function, f(x) = 2x^3 - 9x^2 + 12x + 5 in...
- If a circle C, whose radius is 3, touches externally the circle, x^2 + y^2 + 2x - 4y - 4 = 0 at the point (2, 2), then the length...
- If the area of the region bounded by the curves, y = x^2, y = 1 x and the lines y = 0 and x = t (t > 1) is 1 sq. unit, then t is...
- Let P be a point on the parabola, x^2 = 4y. If the distance of P from the centre of the circle x^2 + y^2 + 6x + 8 = 0 is minimum,...
- If the function f defined as f(x) = 1 x - k - 1 e^ 2x - 1 , x 0, is continuous at x = 0, then the ordered pair (k, f(0)) is equal...
- The mean and the standard deviation (s.d.) of five observations are 9 and 0, respectively. If one of the observations is changed...