If the 11 letters A, B, ..., K denote an arbitrary permutation of he integers `(1,2,ddot,11),` then `(A-1)(B-2)(C-3)...(K-11)` will be a. necessarily zero b. always odd c. always even d. none of these

If the 11 letters A,B,.....K denote an arbitrary permutation of the integers (1,2....11), then (A-1)(B-2)(C-3)....(K-11) will be

If the 11 letters A,B,..... K denote an arbitrary permutation of the integers (1,2.....11), then (A-1)(B-2)(C-3).....(K-11) will be

If nth-order square matrix A is a orthogonal, then |adj(adjA)| is (a)always -1 if n is even (b) always 1 if n is odd (c) always 1 (d) none of these

If nth-order square matrix A is a orthogonal, then |adj(adjA)| is (a)always -1 if n is even (b) always 1 if n is odd (c) always 1 (d) none of these

If nth-order square matrix A is a orthogonal, then |adj(adjA)| is (a)always -1 if n is even (b) always 1 if n is odd (c) always 1 (d) none of these

What is the reflection of the point (-3,1) in the line x =-2? (A) (-1,1) (B) (-3,-5) (c ) (1,1) (D) - 3,5)

L is a variable line such that the algebraic sum of the distances of the points (1,1) (2,0) and (0,2) from the line is equal to zero. The line L will always pass through a. (1,1) b. (2,1) c. (1,2) d. none of these

L is a variable line such that the algebraic sum of the distances of the points (1,1) (2,0) and (0,2) from the line is equal to zero. The line L will always pass through a. (1,1) b. (2,1) c. (1,2) d. none of these

If a, b, c and d are four positive real numbers such that sum of a, b and c is even the sum of b,c and d is odd, then a^2-d^2 is necessarily