JEE Advanced questions
3844 published questions with worked solutions.
- Let R=(8+3 7)^ 20 and [R]= the greatest integer less than or equal to R. Then
- 1 1! ,(n-1)! + 1 3! ,(n-3)! + 1 5! ,(n-5)! + is equal to
- In the expansion of (x+y+z)^ 25
- If A= bmatrix 1&-2&4 2&3&2 3&1&5 bmatrix and B= bmatrix 0&-2&4 1&3&2 -1&1&5 bmatrix then A+B is
- If A^2=8A+kI where A= bmatrix 1&0 -1&7 bmatrix then k is
- The matrix bmatrix &7&-2 4&1&3 2&-1&2 bmatrix is a singular matrix if is
- If the matrix A= bmatrix a&b &d bmatrix then A^2 is
- If A= bmatrix &0 1&1 bmatrix and B= bmatrix 1&0 5&1 bmatrix such that A^2=B then is
- If bmatrix 2&-3 1& bmatrix bmatrix 1&5& 0&2&-3 bmatrix = bmatrix 2&4&1 1&-1&13 bmatrix then
- If A= bmatrix 0&-4&1 2& &-3 1&2&-1 bmatrix then A^ -1 exists (i.e., A is invertible) if
- The reciprocal matrix of bmatrix 1&0&2 0&1&-1 1&2&1 bmatrix is
- If A= bmatrix 1&-1&1 1&2&0 1&3&0 bmatrix then the value of | adj A| is equal to
- If A= bmatrix &- &0 & &0 0&0&1 bmatrix then A^ -1 is equal to
- If A= bmatrix 4&-1&-4 3&0&-4 3&-1&-3 bmatrix then A^2 is equal to
- If f(x)= bmatrix x&- x&0 x& x&0 0&0&1 bmatrix then f(x+y) is equal to
- If A= bmatrix 1& & ^2 & ^2&1 ^2&1& bmatrix , B= bmatrix & ^2&1 ^2&1& & ^2&1 bmatrix and C= bmatrix 1 ^2 bmatrix where is the...
- If A= bmatrix 0&c&-b -c&0&a &-a&0 bmatrix and B= bmatrix a^2&ab&ac &b^2&bc &cb&c^2 bmatrix then AB is equal to
- If A be a matrix such that A bmatrix 1&-2 1&4 bmatrix = bmatrix 6&0 0&6 bmatrix then A is
- The rank of the matrix bmatrix -5&3&2 3&2&-5 4&-1&-3 bmatrix is
- The rank of the matrix bmatrix 1&2&3 &2&4 2&-3&1 bmatrix is 3 if