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)

Solution:

We know that

Mid-point of the line segment joining the points A(x₁, y₁) and B(x₂, y₂) is

P (x, y) = (x₁ + x₂)/ 2, (y₁ + y₂)/ 2

The points given are

A (-2, 8) and B(-6, -4)

Substituting it in the formula

P (x, y) = (-2 + (-6))/2, (8 + (-4))/2

By further calculation

P (x, y) = (-2 - 6)/2, (8 - 4)/2

P (x, y) = -8/2, 4/2

So we get

P (x, y) = (-4, 2)

Therefore, the mid-point of the line segment is (-4, 2).

✦ Try This: The mid-point of the line segment joining the points A (-4, 6) and B (-4, -2) is

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 7

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NCERT Exemplar Class 10 Maths Exercise 7.1 Sample Problem 2

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)

Summary:

The mid-point of the line segment joining the points A (–2, 8) and B (– 6, – 4) is (-4, 2)

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