JEE Advanced questions
3844 published questions with worked solutions.
- If n is a multiple of 3 then the coefficient of x^n in the expansion of _e(1 + x + x^2), |x| < 1, is
- The possible number of different orders that a matrix can have when it has 24 elements, is
- If in the expansion of (1+x)^m (1-x)^n, the coefficients of x and x^2 are 3 and -6 respectively then
- (n+2) ^ n C_ 0 2^ n+1 - (n+1) ^ n C_ 1 2^ n + n ^ n C_ 2 2^ n-1 - is equal to
- If u_n = 2 n then u_1u_n - u_ n-1 is equal to
- 10 3 , 9 4 , 7 6 are in
- The number of real solutions of the equation ^7x + ^5x = 1, 0 x 2 , isNot in JEE Main syllabus
- The sum of ^ -1 3 + ^ -1 7 + ^ -1 13 + ^ -1 21 + ^ -1 31 is
- One root of the equation 2 x + 1 = 2x lies in the interval
- If 2, _ 3^x - 4 4, _ 3^x + 72 4 are in HP then x is equal to
- The value of _ r=1 ^ ^ -1 2r 2 + r^2 + r^4 is equal to
- In a PQR, R = 2 . If P 2 and Q 2 are the roots of the equation ax^2 + bx + c = 0 then
- A particle moving on a curve has the position given by x = f'(t) t + f''(t) t, y = f'(t) t - f''(t) t at time t where f is a...
- If f(x) = ^ -1 x - x^ -1 x + x^ -1 then f'(-2) is
- The slope of the tangent to the curve y = 1+x - 1-x 1+x + 1-x at x = 12 is
- If 3x^3 + 5x - 4 (x^2 - 1)(x^2 - 4) = A x + 1 + B x - 1 + C x + 2 + D x - 2 then A + B + C + D is
- A flag is to be coloured in four stripes by using 6 different colours, no two consecutive stripes being of the same colour. This...
- Two vertices of an equilateral triangle in the Argand plane represent the nonreal cube roots of unity. The area of the triangle is
- Let = vmatrix a_ 11 & a_ 12 & a_ 13 a_ 21 & a_ 22 & a_ 23 a_ 31 & a_ 32 & a_ 33 vmatrix and a_ pq = i^ p+q where i = -1 . The...
- A piece of paper is in the shape of a square of side 1 metre. It is cut at the four corners to make a regular polygon of eight...Not in JEE syllabus