Question

If $P(7,3)$ and $Q(2,k)$ are two co-ordinates of a straight line $PQ$ and $d(P,Q)=5$ units then the value of $k$ is

• A. $-5$
• B. $-3$
• C. $1$
• D. $3$

Answer 1

The correct option is D $3$

P(7,3) and Q(2,k) d(P,Q) =

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P(7,3) Q(2,k)

$d^2=P{Q}^2$

$25=(7-2{)}^2+(3-k{)}^2$

$25=25+(3-k{)}^2$

$3-k=0$

$k=3$