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…

CBSE Class 10 Maths PYQ · Coordinate Geometry · Section Formula · 2 Marks · March 2025 · Standard

Solve it yourself first — then press ↓ or tap Show Solution. Use ← → for previous / next question.

692 Marks · March 2025 · Standard

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 $BP = \frac{4}{7}AB$. Find the coordinates of point $P$.

Show SolutionHide Solution↓

$P(x, y)$ divides $AB$ in the ratio $3:4$
$x = \frac{3 \times 2 + 4 \times (-2)}{4+3} \implies x = -\frac{2}{7}$
$y = \frac{3 \times (-4) + 4 \times (-2)}{4+3} \implies y = -\frac{20}{7}$
$\therefore$ Coordinates of $P$ are $(-\frac{2}{7}, -\frac{20}{7})$