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Mathematics · 2025 · 2 marks
CBSE 2025 · Region 5 · Set 1 · Q22
The coordinates of the end points of the line segment AB are A(-2, -2) and B (2,-4). P is the point on AB such that BP =4/7 AB. Find the coordinates…
The coordinates of the end points of the line segment AB are A$\displaystyle (-2, -2)$ and $\displaystyle \mathrm{B}(2,-4)$. P is the point on AB such that $\displaystyle \mathrm{BP}=\frac{4}{7} \mathrm{AB}$. Find the coordinates of point P.
Marking-scheme solution
P (x, y) divides AB in the ratio $\displaystyle 3$: $\displaystyle 4$
\[\begin{aligned}
& x=\frac{3 \times 2+4 \times(-2)}{4+3} \Rightarrow x=-\frac{2}{7} \\
& y=\frac{3 \times(-4)+4 \times(-2)}{4+3} \Rightarrow y=-\frac{20}{7}
\end{aligned}
\] ∴ Coordinates of P are \(\displaystyle \left(-\frac{2}{7},-\frac{20}{7}\right)\)All Coordinate Geometry questions2025 question paperNCERT solutions: Coordinate GeometryPractice Coordinate Geometry →
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