JEE Advanced questions
3844 published questions with worked solutions.
- If x + y = 13 and x + y = 34 then x - y 2 is equal to
- If _ p=1 ^ n _ m=1 ^ p ( _ k=1 ^ m k ) = a_0n^4 + a_1n^3 + a_2n^2 + a_3n + a_4 then
- If a + b + c = 0 then a b is equal to
- A and B are two independent events such that P(A' B) = 2 15 and P(A B') = 16. Then P(B) is equal to
- The centre of a circle which touches the line 2x - y = 1 at (1, 1) and also touches the line 2x + y = 4 is
- The general solution of the equation d^3y dx^3 - 7 d^2y dx^2 + 16 dy dx - 12y = 0 is
- y = (c_1 x + c_2 x) ,e^ -x + c_3e^ x is the general solution of the equation
- The general solution of the equation d^3y dx^3 + y = 0 is
- One or more may match with the same. Column I: (i) If f(x) is continuous in R and f(x) + f(x+1) = 1, where 0 x 1, then the value...
- If (1 + x)^n = ^nC_0 + ^nC_1x + ^nC_2x^2 + + ^nC_nx^n then the value of _ i=0 ^ 8 _ j=1 ^ 8 ^8C_j , ^jC_i for all i j is
- Let the vectors PQ , QR , RS , ST , TU and UP represent the sides of a regular hexagon. STATEMENT-1: PQ ( RS + ST ) 0...
- If f(a + x) = f(2a) for all x R and a is a positive constant then f(x) is
- Let f(x) = x, 2 - x for all x R . Then
- If y = _0^ x^2 t , dt then dy dx is equal to
- The coefficient of x^ 2^ n+1 in 1 (1 + x)(1 + x^2)(1 + x^4) (1 + x^ 2^n ) , where |x| < 1, is
- If f(x) = (x^2 - x + 2)(x^2 - 4) then the set x f(x) > 0, x R is equal to
- If _r = vmatrix 2^n + 1 & 2^ n+1 & n(n+2) 1 & 1 & -1 ^ n C_ r & 2^r & 2r + 1 vmatrix then the value of _ r=0 ^ n _r is
- Let P be a point whose coordinates differ by unity and the point does not lie on any of the axes of reference. If the parabola...
- Four vertices of a square are ( 3, 3). If (a, a) is a point inside the square but falls outside the circle x^2 + y^2 = 1 then the...
- If _ x x = 1 + _ x 2x then the values of x are (n being an integer)