Question

Points $(3,-1)$ and $(6,1)$ lie on the line represented by the equation $px+qy=9,$ find the value of $p$.

• A. $2$
• B. $8$
• C. $6$
• D. $1$

Answer 1

The correct option is A $2$

$(3,-1)$ and $(6,1)$ lies on $px+qy=9$
hence, $3p-q=9$
and $6p+q=9$
On adding the two equations, we get
$9p=18$ or $p=2$
Value of $p$ will be $2$