The value of the determinant |(x, x+y, x+2y)(x+2y, x, x+y)(x+y, x+2y, x)| is

Question

The value of the determinant \(\begin{vmatrix} x & x+y & x+2y \\ x+2y & x & x+y \\ x+y & x+2y & x \end{vmatrix}\) is

A. 9x²(x + y)

B. 9y²(x + y)

C. 3y²(x + y)

D. 7x²(x + y)

Answer 1

Correct answer is B.

Δ = \(\begin{vmatrix} x & x+y & x+2y \\ x+2y & x & x+y \\ x+y & x+2y & x \end{vmatrix}\)