If the 11 letters A, B, ..., K denote an...

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

Similar Questions

Explore conceptually related problems

Four non zero vectors will always be a. linearly dependent b. linearly independent c. either a or b d. none of these

Four non –zero vectors will always be a. linearly dependent b. linearly independent c. either a or b d. none of these

If x is real, then x//(x^2-5x+9) =y lies between -1a n d-1//11 b. 1a n d-1//11 c. 1a n d1//11 d. none of these

Show that the points A (1,1,1), B (1,2,3) and C (2,-1,1) are vertices of an isosceles triangle.

Find the area of the pentagon whose vertices are A(1,1),B(7,21),C(7,-3),D(12 ,2), and E(0,-3)

If a in (-1,1), then roots of the quadratic equation (a-1)x^2+a x+sqrt(1-a^2)=0 are a. real b. imaginary c. both equal d. none of these

The greatest integer by which 1+sum_(r=1)^(30)rxxr ! is divisible is a. composite number b. odd number c. divisible by 3 d. none of these

Show that the points A(2,3,-4) , B(1,-2,3) and C(3,8,-11) are collinear .

If the value of determinant |(a,1,1),(1,b,1)(1,1,c)| is positive , then

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

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

Similar Questions

Recommended Questions