Question

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

• A. I
• B. II
• C. III
• D. IV

Answer 1

The correct option is D IV

Let $P$ be the point that divides the line in given ratio

Then coordinates of $P$ are

$P(\frac{3\left(5\right)+2\left(2\right)}{3+2},\frac{3\left(2\right)+2(-5)}{3+2})\Rightarrow P(\frac{19}{5},\frac{-4}{5})$

$x$ coordinate is positive and $y$ is negative

$\therefore$ point lies in the Fourth quadrant.