Question

If point P is midpoint of segment joining point A(–4, 2) and point B(6, 2), then the coordinates of P are ______.

Options

• (–1, 2)

• (1, 2)

• (1, –2)

• (–1, –2)

Answer 1

If point P is midpoint of segment joining point A(–4, 2) and point B(6, 2), then the coordinates of P are (1, 2).

Explanation:

A(x₁, y₁) = A(–4, 2), B(x₂, y₂) = B(6, 2)

Here, x₁ = –4, y₁ = 2, x₂ = 6, y₂ = 2

∴ Co-ordinates of the midpoint of seg AB

= `((x_1 + x_2)/2, (y_1 + y_2)/2)`

= `((-4 + 6)/2, (2 + 2)/2)`

= `(2/2, 4/2)`

= (1, 2)