Question

# Find the midpoint of the line segment joining the points $$(1,-1)$$ and $$(-5,-3)$$.

A
(2,1)
B
(2,1)
C
(2,1)
D
None of these

Solution

## The correct option is A $$(-2,1)$$Given points are $$(1,-1)$$ and $$(-5,-3)$$To find out,The coordinates of the midpoint of the line joining the given points.Let the coordinates of the midpoint be $$(x,y)$$.We know that the coordinates of the midpoint of the line segment joining $$(x_1,y_1) \ and\ (x_2,y_2)$$ are: $$P(x,y)=\left(\dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2}\right)$$Here, $$(x_1,y_1)=(1,-1)$$ and $$(x_2,y_2)=(-5,-3)$$.Hence, $$x=\dfrac{1+(-5)}{2}$$ and $$y=\dfrac{-1-(-3)}{2}$$.$$\Rightarrow x=-2$$ and $$y=1$$So, $$(x,y)=(-2,1)$$.Hence, $$(-2,1)$$ are the coordinates of the midpoint joining $$(1,-1)$$ and $$(-5,-3)$$.Mathematics

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