Find the area in the 1* quadrant bounded by `[x]+[y]=n`, where `n in N and y=k`(where `k in n AA k<=n+1`), where [.] denotes the greatest integer less than or equal to x.

Find the area in the 1^(st ) quadrant bounded by [x]+[y]=n , where n in N and y=k (where k in n AA k<=n+1 ), where [.] denotes the greatest integer less than or equal to x.

Find the area of the region lying in the first quadrant and bounded by y=4x^2 , x = 0, y = 1 a n d y = 4 .

Find the area bounded by y=tan^(-1)x , y=cot^(-1)x ,a n dy-axis in the first quadrant.

Let A be an nth-order square matrix and B be its adjoint, then |A B+K I_n| is (where K is a scalar quantity) a. (|A|+K)^(n-2) b. (|A|+K)^n c. (|A|+K)^(n-1) d. none of these

Let A be an nth-order square matrix and B be its adjoint, then |A B+K I_n| is (where K is a scalar quantity) (|A|+K)^(n-2) b. (|A|+K)^n c. (|A|+K)^(n-1) d. none of these

Let A be an nth-order square matrix and B be its adjoint, then |A B+K I_n| is (where K is a scalar quantity) (|A|+K)^(n-2) b. (|A|+)K^n c. (|A|+K)^(n-1) d. none of these

Let A be an nth-order square matrix and B be its adjoint, then |A B+K I_n| is (where K is a scalar quantity) a. (|A|+K)^(n-2) b. (|A|+K)^n c. (|A|+K)^(n-1) d. none of these

Let A be an nth-order square matrix and B be its adjoint, then |A B+K I_n| is (where K is a scalar quantity) a. (|A|+K)^(n-2) b. (|A|+K)^n c. (|A|+K)^(n-1) d. none of these

If total number of runs secored is n matches is (n+1)/(4) (2^(n+1) -n-2) where n ge 1 , and the runs scored in the k^(th) match is given by k.2^(n+1 - k) , where 1 le k le n, n is