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Question

Find the points which divide the line segment joining $$A(-4,0)$$ and $$B(0,6)$$ into two equal parts.


A
(2,3)
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B
(3,32)
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C
(3,32)
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D
None of these
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Solution

The correct option is A $$ (-2,3)$$
Given $$A(-4,0)$$ and $$B(0,6)$$. Let $$P(x,y)$$ divide $$AB$$ into two equal parts.

By mid-point theorem:

$$X=\left ( \dfrac{x_1+x_2}{2}\right ) and \ Y=\left ( \dfrac{y_1+y_2}{2}\right )$$

$$x=\dfrac{-4+0}{2}=-2$$ and $$y=\dfrac{0+6}{2}=3$$.

so, $$P(x,y)=(-2,3)$$ is require point.

Mathematics

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