Question

If bc +qr = ca + rp = ab + pq = -1 then the value of $\left|\begin{array}{ccc}ap& a& p\\ bq& b& q\\ cr& c& r\end{array}\right|$ is

• A. 0
• B. 1
• C. -1
• D. None of these

Answer 1

The correct option is A 0

$\left|\begin{array}{ccc}ap& a& p\\ bq& b& q\\ cr& c& r\end{array}\right|$

$C_1-C_1-(C_1\times C_2)$

$\left|\begin{array}{ccc}0& a& p\\ 0& b& q\\ 0& c& r\end{array}\right|=0$

$\therefore det=0$