Question

If the line segment joining the points P and Q(3, –4) is bisected at the origin, then the coordinate of P are ______.

Options

• (3, –2)

• (3, –4)

• (–3, –4)

• (–3, 4)

Answer 1

If the line segment joining the points P and Q(3, –4) is bisected at the origin, then the coordinate of P are (–3, 4).

Explanation:

The origin (0, 0) is the mid-point, so \(\frac{x_P + 3}{2} = 0 \Rightarrow x_P = -3\) and \(\frac{y_P + (-4)}{2} = 0 \Rightarrow y_P = 4\).