Question

The mid-point of the line segment joining the points A (-2, 8) and
B (-6, -4) is ...
(a) (-4,- 6) (b) (2,6) (c) (-4, 2) (d) (4, 2)​

Answer 1

★ Concept:-

Here this is a question from coordinate geometry, where we are asked to find the mid points of 2 given points. Mid point is the coordinate of the point which divides the line segment joining both the points in 2 equal parts. We can obtain mid-point by applying formula.

• Given coordinates:-

  • A(-2,8)

  • B(-6,-4)

• Let us assume:-

   • X1=-2

   • Y1=8

   • X2=-6

   • Y2=-4

• We have formula:-

$\underline{\boxed{\leadsto\sf Mid-point=\Bigg(\dfrac{X_1+X_2}{2},\dfrac{Y_1+Y_2}{2}\Bigg)}}\bigstar$

Substituting the values of absicca and ordinate.

$\sf\leadsto Mid-point=\Bigg(\dfrac{-2+(-6)}{2},\dfrac{8+(-4)}{2}\Bigg)$

$\sf\leadsto Mid-point=\Bigg(\dfrac{-2-6}{2},\dfrac{8-4}{2}\Bigg)$

$\sf\leadsto Mid-point=\Bigg(\dfrac{-8}{2},\dfrac{4}{2}\Bigg)$

$\sf\leadsto Mid-point=(-4,2)$

So the mid points of line segment joining A and B are (-4,2).

Option (c) is correct.

Answer 2

Answer:

Option c is correct.

Step-by-step explanation:

I hope this helps you.