Question

The points (22,23) divides the join of P (7,5) and Q externally in the ratio 3:5, then Q=

• A. $(3,7)$
• B. $(-3,7)$
• C. $(3,-7)$
• D. $(-3,-7)$

Answer 1

The correct option is D $(-3,-7)$

$(22,23)$dives $P(7,5)$ and $Q$ in the ratio $3:5$ externally.

Let $Q(x,y)$

$22=\frac{3x-5\times 7}{-2}$

$-44=3x-35$

$x=-3$

$23=\frac{3y-5\times 5}{-2}$

$y=-7$

$Q(-3,-7)$

$D$ is correct.