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Mid Point

If O0,4 and...

Question

If $O (0, 4)$ and $P (0, - 4)$ , are the coordinates of the line segment $O P$ then co-ordinate of its midpoint is

A

(0, - 4)

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B

(0, 4)

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C

(- 4, 0)

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D

(0, 0)

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Solution

The correct option is D $(0, 0)$
Midpoint of a line segment having coordiantes $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ is $(\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$
$∴$ Modpoint of $O P = (\frac{0 + 0}{2}, \frac{4 + - 4}{2})$
$= (0, 0)$

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