Question

The points of trisection of the segment joining the points

(3, –2) and (–3, –4) are-

• A. $\left( \frac{3}{2}, - \frac{5}{2} \right)$, $\left( - \frac{3}{2}, - \frac{13}{4} \right)$
• B. $\left( - \frac{3}{2},\frac{5}{2} \right)$, $\left( \frac{3}{2},\frac{13}{4} \right)$
• C. $\left( 1, - \frac{8}{3} \right)$, $\left( - 1, - \frac{10}{3} \right)$
• D. None of these

Answer 1

Answer: (C)

$\left( 1, - \frac{8}{3} \right)$, $\left( - 1, - \frac{10}{3} \right)$

Answer 2

P divides AB in ratio 1 : 2

\ P $\left\lbrack \frac{- 3 + 6}{1 + 2},\frac{- 4 - 6}{1 + 2} \right\rbrack$

P $\left( 1,\frac{- 8}{3} \right)$

Now Q is the mid point of AB

Q $\left( \frac{1 - 3}{2},\frac{- \frac{8}{3} - 4}{2} \right)$

= $\left( - 1,\frac{- 10}{3} \right)$