The line segment joining the points A(4, -5) and B(4, 5) is divided by the point P such that AP: AB = 2: 5 . Find the…

CBSE Class 10 Maths PYQ · Coordinate Geometry · Section Formula · 2 Marks · March 2023 · Standard

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602 Marks · March 2023 · Standard
The line segment joining the points $A(4, -5)$ and $B(4, 5)$ is divided by the point $P$ such that $AP: AB = 2: 5$. Find the coordinates of $P$.
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$AP: AB = 2 : 5 \Rightarrow AP : PB = 2 : 3$
$x = \frac{8 + 12}{5} = 4$, $y = \frac{10 - 15}{5} = -1$
Point $P$ is $(4, -1)$
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