If and are distinct and | b | c | a | |---|---|---| | c | a | b | | a | b | c |

MATHEMATICS · Single correct · CBSE · Mathematics · Determinants · Determinants

Problem

a, b

and

c

are distinct and

D =

b	c	a
c	a	b
a	b	c

, then the square of the determinant of its cofactors is divisible by (1)

(a^2 + b^2 + c^2)^2

(2)

(ab + bc + ca)^2

(3)

(a + b + c)^2

(4)

(a + b + c)^4