Question

A line intersects the y-axis and x-axis at the points P and Q respectively. If (2, –5) is the mid-point of PQ, then the coordinates of P and Q are respectively:

Options

• (0, 10) and (–4, 0)

• (0, –5) and (2, 0)

• (0, 4) and (–10, 0)

• (0, –10) and (4, 0)

Answer 1

(0, –10) and (4, 0)

Explanation:

Let P = (0, p) and Q = (q, 0).

Then \(\frac{q}{2} = 2 \Rightarrow q = 4\) and \(\frac{p}{2} = -5 \Rightarrow p = -10\). 

Hence P(0, –10) and Q(4, 0).