Mathematics questions
18011 published questions with worked solutions.
- The value of vmatrix (a+1)&(a+2)&a+2 (a+2)&(a+3)&a+3 (a+3)&(a+4)&a+4 vmatrix is
- The value of _ - /2 ^ /2 ^2x 1+3^x dx is
- Let R = (P, Q) | P and Q are at the same distance from the origin be a relation, then the equivalence class of (1,–1) is the set :
- The difference between degree and order of a differential equation that represents the family of curves given by y^2=a (x+ a 2 ),...
- The number of integral values of 'k' for which the equation 3sinx + 4cosx = k + 1 has a solution, k R isNot in JEE Main syllabus
- The number of solutions of the equation _4(x-1)= _2(x-3) is
- The sum of the 162^ th power of the roots of the equation x^3-2x^2+2x-1=0 is
- Let m, n N and gcd(2, n) = 1. If 30 30 0 +29 30 1 + .+2 30 28 +1 30 29 =n.2^m, then n + m is equal to (Here n k = ^nC_k)
- If y = y(x) is the solution of the equation e^ y y dy dx +e^ y x= x, y(0) = 0: then 1+y ( 6 )+ 3 2 y ( 3 )+ 1 2 y ( 4 ) is equal...
- Let ( , 2, 1) be a point on the plane which passes through the point (4, –2, 2). If the plane is perpendicular to the line...
- The area bounded by the lines y = |x – 1| – 2 is
- The value of the integral _0^ | 2x|dx is
- If 3( ^2x)=( 3-1) x+1, the number of solutions of the given equation when x [0, 2 ] isNot in JEE Main syllabus
- Let A = z ℂ : 1 |z − (1 + i)| 2 and B = z A : |z − (1 − i)| = 1 . Then, B :
- The remainder when 3^ 2022 is divided by 5 is :
- The surface area of a balloon of spherical shape being inflated, increases at a constant rate. If initially, the radius of...
- Bag A contains 2 white, 1 black and 3 red balls and bag B contains 3 black, 2 red and n white balls. One bag is chosen at random...
- Let x^ 2 + y^ 2 + Ax + By + C = 0 be a circle passing through (0, 6) and touching the parabola y = x^ 2 at (2, 4). Then A + C is...
- The number of values of for which the system of equations : x + y + z = , x + 2 y + 3z = −1, x + 3 y + 5z = 4 is inconsistent, is
- If the sum of the squares of the reciprocals of the roots and of the equation 3x^ 2 + x - 1 = 0 is 15, then 6( ^ 3 + ^ 3 )^ 2 is...