Let be a root of the equation (a-c)x^2+(b-a)x+(c-b)=0 where a, b, c are distinct real numbers such that the...

Question

Let be a root of the equation (a-c)x^2+(b-a)x+(c-b)=0 where a, b, c are distinct real numbers such that the matrix bmatrix ^2& &1 1&1&1 &b&c bmatrix is singular. Then, the value of (a-c)^2 (b-a)(c-b) + (b-a)^2 (a-c)(c-b) + (c-b)^2 (a-c)(b-a) is

Accepted Answer

(D)

JEE Main 2023 Mathematics question

Solution