Question

The coordinates of the point dividing internally the lines joining the points (4, –2) and (8, 6) in the ratio 7 : 5 will be-

• A. (16, 18)
• B. (18, 16)
• C. $\left( \frac{19}{3},\frac{8}{3} \right)$
• D. $\left( \frac{8}{3},\frac{19}{3} \right)$

Answer 1

Answer: (C)

$\left( \frac{19}{3},\frac{8}{3} \right)$

Answer 2

$P\left( \frac{7(8) + 5(4)}{7 + 5},\frac{7(6) + 5( - 2)}{7 + 5} \right)$ = $\left( \frac{19}{3},\frac{8}{3} \right)$