JEE Advanced questions
3844 published questions with worked solutions.
- The number of different ways of distributing 10 marks among 3 questions, each question carrying at least 1 mark, is
- The position vector of a point P is r=x i+y j+z k, where x N , y N , z N and a= i+ j+ k. If r a=10, the number of possible...
- If P=n(n^2-1^2)(n^2-2^2)(n^2-3^2) (n^2-r^2), n>r, n N , then P is divisible by
- If ^ n+5 P_ n+1 = 11(n-1) 2 ^ n+3 P_n then the value of n is
- If ^nC_4, ^nC_5 and ^nC_6 are in AP then n is
- If the number of arrangements of n-1 things taken from n different things is k times the number of arrangements of n-1 things...
- Kanchan has 10 friends among whom two are married to each other. She wishes to invite 5 of them for a party. If the married...
- There are n seats round a table numbered 1,2,3, ,n. The number of ways in which m ,( n) persons can take seats is
- The total number of ways in which a beggar can be given at least one rupee from four 25-paisa coins, three 50-paisa coins and 2...
- For the equation x+y+z+w=19, the number of positive integral solutions is equal to
- If vmatrix a+x & a & x a-x & a & x a-x & a & -x vmatrix =0 then x is
- vmatrix 0 & p-q & p-r q-p & 0 & q-r r-p & r-q & 0 vmatrix is equal to
- If a b c such that vmatrix a^3-1 & b^3-1 & c^3-1 a & b & c a^2 & b^2 & c^2 vmatrix =0 then
- vmatrix 1+x & 1 & 1 1 & 1+x & 1 1 & 1 & 1+x vmatrix is equal to
- If vmatrix 6i & -3i & 1 4 & 3i & -1 20 & 3 & i vmatrix = x+iy then
- The determinant vmatrix xp+y & x & y yp+z & y & z 0 & xp+y & yp+z vmatrix =0 for all p R if
- The determinant vmatrix a & a+d & a+2d a^2 & (a+d)^2 & (a+2d)^2 2a+3d & 2(a+d) & 2a+d vmatrix =0. Then
- The value of the determinant vmatrix bc & ca & ab p & q & r 1 & 1 & 1 vmatrix , where a, b, c are the pth, qth and rth terms of a...
- The sum of two nonintegral roots of vmatrix x & 2 & 5 3 & x & 3 5 & 4 & x vmatrix =0 is
- If x, y, z are integers in AP, lying between 1 and 9, and x51, y41 and z31 are three-digit numbers then the value of vmatrix 5 &...