Question

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

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

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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