Mathematics questions
18011 published questions with worked solutions.
- The sum of solutions of the equation x 1+ x =| 2x|, x (- 2 , 2 )- 4 ,- 4 isNot in JEE Main syllabus
- The mean and standard deviation of 20 observations were calculated as 10 and 2.5 respectively. It was found that by mistake one...
- On the ellipse x^2 8 + y^2 4 =1 let P be a point in the second quadrant such that the tangent at P to the ellipse is...
- Let y = y(x) be a solution curve of the differential equation (y + 1) ^2x dx + tan x dy + y dx = 0, x (0, 2 ). If _ x 0^+...
- Let A and B be independent events such that P(A) = p, P(B) = 2p. The largest value of p, for which P(exactly one of A, B occurs)...
- Let (0, 2 ). If the system of linear equations (1+ ^2 )x+ ^2 y+4 3 z=0, ^2 x+(1+ ^2 )y+4 3 z=0, ^2 x+ ^2 y+(1+4 3 )z=0 has a...
- Let f(x)= (2 ^ -1 ( ^ -1 1-x x ) ), 0 < x < 0. Then -
- If ^ 20 C_r is the co-efficient of x^r in the expansion of (1+x)^ 20 , the value of _ r=0 ^ 20 r^2 ,^ 20 C_r is equal to
- Out of all the patients in a hospital 89% are found to be suffering from heart ailment and 98% are suffering from lungs...
- The equation ( z-1 z+1 )= 4 represent a circle with
- Let a = i + j + k and b = j - k . If c is a vector such that a c = b and a . c =3, then a .( b c ) is equal to -
- If a line along a chord of the circle 4x^2+4y^2+120x+675=0 passes through the point (–30, 0) and is tangent to the parabola...
- A plane P contain the line x + 2y + 3z + 1 = 0 = x – y – z – 6, and is perpendicular to the plane –2x + y + z + 8 = 0. Then which...
- If A= pmatrix 1 5 & 2 5 -2 5 & 1 5 pmatrix , B= pmatrix 1&0 &1 pmatrix , i= -1 , and Q = A^TBA, then the inverse of the matrix...
- If the sum of an infinite GP a, ar, ar^2, .... is 15 and the sum of the squares of its each term is 150, then the sum of ar^2,...
- The value of _ n 1 n _ r=0 ^ 2n-1 n^2 n^2+4r^2 is
- Let ABC be a triangle with A(–3, 1) = , 0< < 2 , If the equation of the median through B is 2x + y – 3 = 0 and the equation of...
- If the truth value of the boolean expression ((p q) (q r) ( r)) (p q) is false, then the truth values of the statements p, q, r...Not in JEE syllabus
- The sum of all integral values of k(k 0) for which the equation 2 x-1 - 1 x-2 = 2 k in x has no real roots, is _______.
- Let the line L be the projection of the line x-1 2 = y-3 1 = z-4 2 in the plane x – 2y – z = 3. If d is the distance of the point...