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

2

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8

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6

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1

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Solution

The correct option is A $2$
$(3, - 1)$ and $(6, 1)$ lies on $p x + q y = 9$
hence, $3 p - q = 9$
and $6 p + q = 9$
On adding the two equations, we get
$9 p = 18$ or $p = 2$
Value of $p$ will be $2$

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