Question

If $\begin{pmatrix}2x+y&x+y\\ p-q&p+q\end{pmatrix}=\begin{pmatrix}1&1\\ 0&0\end{pmatrix}$ , then $(x, y, p, q) $ equals

• A. 0, 1, 0, 0
• B. 0, -1, 0, 0
• C. 1, 0, 0, 0
• D. 0, 1, 0, 1

Answer 1

The Correct Option is A

We have,
$\begin{bmatrix}2 x+y & x+y \\ p-q & p+q\end{bmatrix}=\begin{bmatrix}1 & 1 \\ 0 & 0\end{bmatrix}$
$\therefore \,\, 2 x+y=1 \,\,\,...(i)$
$x+y=1\,\,\,...(ii)$
$p-q=0\,\,\,...(iii)$
$p+q=0\,\,\,...(iv)$
On solving Eqs. (i) and (ii), we get
$x=0, y=1$
and on solving Eqs. (iii) and (iv), we get
$p=q=0$