Question

The midpoint of segment AB is P(0, 4). If the coordinates of B are (–2, 3) then the coordinates of A are ______.

पर्याय

• (2, 5)

• (–2, –5)

• (2, 9)

• (–2, 11)

Answer 1

The midpoint of segment AB is P(0, 4). If the coordinates of B are (–2, 3) then the coordinates of A are (2, 5).

Explanation:

Let A = (x, y).

Midpoint formula gives `((x + (-2))/2, (y + 3)/2) = (0, 4)`.

So, `(x - 2)/2 = 0`

⇒ x = 2

And `(y + 3)/2 = 4`

⇒ y + 3 = 8

⇒ y = 5

Hence, A = (2, 5).