JEE Advanced questions
3844 published questions with worked solutions.
- The system of equations cases x+y+z=2 2x-y+3z=5 -2y-z+1=0 cases written in matrix form is
- If bmatrix 1&x&1 bmatrix bmatrix 1&3&2 2&5&1 15&3&2 bmatrix bmatrix 1 2 bmatrix =0 then x is
- If bmatrix x+y&y 2x&x-y bmatrix bmatrix 2 -1 bmatrix = bmatrix 3 2 bmatrix then x y is equal to
- bmatrix 1&-2&3 2&-1&4 3&4&1 bmatrix is a
- If A= bmatrix 3&1 -1&2 0&6 bmatrix and B= bmatrix 5&4&6 4&1&2 -5&-1&1 bmatrix then
- If A= bmatrix 1&1&1 1&1&1 1&1&1 bmatrix then
- (1-x)^ 3/2 can be expanded in ascending powers of x if
- (3+x)^ p/q can be expanded in ascending powers of x if
- If x is positive, the first negative term in the expansion of (1+x)^ 27/6 is the
- In the expansion of (2+x)^ -5/2 , the coefficient of x^4, if it exists, is
- If x^2+x 1-x = a_1x + a_2x^2 + to , |x| < 1, then
- If |x| < 1, the coefficient of x^3 in the expansion of 1 e^x (1+x) is
- The constant term in the expansion of x + _e(1-x) x^3 is
- In the expansion of _ 10 (1-x), |x| < 1, the coefficient of x^n is
- The sum of the series ^ 4 C_0 + ^ 5 C_1x + ^ 6 C_2x^2 + ^ 7 C_3x^3 + to is
- The sum of the series ^ 2 C_0 - ^ 3 C_1x^2 + ^ 4 C_2x^4 - ^ 5 C_3x^6 + to is
- The sum of the series ^ 3 C_0 - ^ 4 C_1 12 + ^ 5 C_2 ( 12 )^2 - ^ 6 C_3 ( 12 )^3 + to is
- 1 0! + 2 1! + 3 2! + 4 3! + to is equal to
- _ n=1 ^ 1 2n(2n+1) is equal to
- If 3x+5 2x^2+x-6 = A 2x-3 + B x+2 identically then