Practice questions
88551 published questions with worked solutions.
- Which of the following compounds will most readily be dehydrated to give alkene under acidic condition ?
- Let A = bmatrix 1 & 0 & 0 1 & 1 & 0 1 & 1 & 1 bmatrix and B = A^ 20 . Then the sum of the elements of the first column of B is ?
- A man on the top of a vertical tower observes a car moving at a uniform speed towards the tower on a horizontal road. If it takes...Not in JEE syllabus
- Let 1 x_1 , 1 x_2 , 1 x_3 , , (x_i 0 for i = 1, 2, , n) be in A.P. such that x_1 = 4 and x_ 21 = 20. If n is the least positive...
- The locus of the point of intersection of the lines, 2 x - y + 4 2 k = 0 and 2 kx + ky - 4 2 = 0 (k is any non-zero real...
- The number of numbers between 2,000 and 5,000 that can be formed with the digits 0, 1, 2, 3, 4, (repetition of digits is not...
- 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