Question

The point P which divides the line segment joining the point A (2, -5) and B (5, 2) in the lies in the ratio 2:3 quadrant.

• A. I
• B. II
• C. III
• D. IV

Answer 1

The correct option is D

IV

The point P divides the line segment joining the point A (2, -5) and (5, 2) in the ratio 2: 3.
$\therefore =(\frac{2\times 5+3\times 2}{2+3},\frac{2\times 2+3\times (-5)}{2+3})$
$=(\frac{10+6}{5},\frac{4-15}{5})$
$=(\frac{16}{5},\frac{-11}{5})$
The point $P(\frac{16}{5},\frac{-11}{5})$ lies in quadrant IV.
The correct answer is D.