CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

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


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

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

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image