If for and , then…

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

Problem

D=\begin{vmatrix}1&1&1\\1&1+x&1\\1&1&1+y\end{vmatrix}

for

x\ne0

and

y\ne0

, then

D

is (1) divisible by neither

x

nor

y

(2) divisible by both

x

and

y

(3) divisible by

x

but not

y

(4) divisible by

y

but not

x