Question

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Answer 1

$\bf\green{QuestioN:-}$

iii) If P is the midpoint of the line segment joining A(-4,2) and B(6,2) then find

the coordinates of point P.

A) (-1,2) B) (1,2) C) (1,-2) D) (-1,-2)

$\bf\red{AnsweR:-}$

According to the mid point theorem,

$\bf{Mid\:point=\dfrac{x^1+x^2}{2}, \dfrac{y^1+y^2}{2}}$

Here,

x^1 = -4

x^2 = 6

y^1 = 2

y^2 = 2

Then according to mid point theorem,

The mid points of the line segment is,

$:\implies\pink\bf{points\:of\:x\:axis=\dfrac{x^1+x^2}{2}}$

$:\implies\pink\bf{\dfrac{-4+6}{2}}$

$:\implies\pink\bf{\dfrac{2}{2}=1}$

$:\implies\pink\bf{points\:of\:y-axis=\dfrac{y^1+y^2}{2}}$

$:\implies\pink\bf{\dfrac{2+2}{2}}$

$:\implies\pink\bf{\dfrac{4}{2}=2}$

Then ( x, y ) = (1 , 2).

The required answer for your question is option b ( 1 , 2 ).

Happy Learning !!☺