If , where , the value of…

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

Problem

\begin{vmatrix} x^n & x^{n+2} & x^{2n} \\ 1 & x^a & a \\ x^{n+5} & x^{a+6} & x^{2n+5} \end{vmatrix} = 0 \ \forall x \in \mathbb{R}

, where

n \in \mathbb{N}

, the value of

a

is (1)

n

(2)

n-1

(3)

n+1

(4) None of these