Mathematics questions
18011 published questions with worked solutions.
- cosec [2 ^ -1 (5)+ ^ -1 ( 4 5 ) ] is equal to :
- If the curve x^2+2y^2=2 intersects the line x + y = 1 at two points P and Q, then the angle subtended by the line segment PQ at...
- The contrapositive of the statement "If you will work, you will earn money" is :Not in JEE syllabus
- A function f(x) is given by f(x)= 5^x 5^x+5 , then the sum of the series f ( 1 20 )+f ( 2 20 )+f ( 3 20 )+ f ( 39 20 ) is equal...
- If for the matrix, A= bmatrix 1&- & bmatrix , AA^T=I_2, then the value of ^4+ ^4 is :
- The minimum value of f(x)=a^ a^x +a^ 1-a^x , where a, x R and a > 0, is equal to :
- _ n [ 1 n + n (n+1)^2 + n (n+2)^2 + ..+ n (2n-1)^2 ] is equal to :
- Let A be a set of all 4-digit natural numbers whose exactly one digit is 7. Then the probability that a randomly chosen element...
- Let and be the roots of x^2-6x-2=0. If a_n= ^n- ^n for n 1, then the value of a_ 10 -2a_8 3a_9 is :
- Let x denote the total number of one-one functions from a set A with 3 elements to a set B with 5 elements and y denote the total...
- The following system of linear equations 2x + 3y + 2z = 9, 3x + 2y + 2z = 9, x – y + 4z = 8
- The total number of two digit numbers 'n', such that 3^n+7^n is a multiple of 10, is _______.
- A function f is defined on [–3, 3] as f(x)= cases |x|,2-x^2 , & -2 x 2 [|x|], & 2<|x| 3 cases where [x] denotes the greatest...
- Let a = i + j +3 k and b =3 i - j + k . If the area of the parallelogram whose adjacent sides are represented by the vectors a...
- If the remainder when x is divided by 4 is 3, then the remainder when (2020+x)^ 2022 is divided by 8 is _______.
- If the curves x = y^4 and xy = k cut at right angles, then (4k)^6 is equal to _______.
- A line is a common tangent to the circle (x-3)^2+y^2=9 and the parabola y^2=4x. If the two points of contact (a, b) and (c, d)...
- If _ x 0 ax-(e^ 4x -1) ax(e^ 4x -1) exists and is equal to b, then the value of a – 2b is _______.
- If the curve, y = y(x) represented by the solution of the differential equation (2xy^2-y)dx+xdy=0, passes through the...
- A line 'l' passing through origin is perpendicular to the lines l_1: r =(3+t) i +(-1+2t) j +(4+2t) k , l_2: r =(3+2s) i +(3+2s) j...