Coordinate Geometry class 10 questions with solutions

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Topic Question Set

Q 11 :
Point P divides the line segment joining the points A(4, –5) and B(1, 2) in the ratio 5 : 2. Coordinates of point P are

$(\frac{5}{2}, \frac{- 3}{2})$
$(\frac{11}{2}, 0)$
$(\frac{13}{7}, 0)$
$(0, \frac{13}{7})$

1

2

3

4

(3) $(\frac{13}{7}, 0)$

$x = \frac{m_{1} x_{2} + m_{2} x_{1}}{m_{1} + m_{2}} = \frac{5 \times 1 + 2 \times 4}{5 + 2} = \frac{5 + 8}{7} = \frac{13}{7}$

$y = \frac{m_{1} y_{2} + m_{2} y_{1}}{m_{1} + m_{2}} = \frac{5 \times 2 + 2 \times (- 5)}{5 + 2} = \frac{10 - 10}{7} = 0$

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