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 find the coordinates of P and Q.
Video Explanation
Explanatory Answer
The coordinates of the point where the line intersects Y -axis is (0, P).
The coordinates of the point where the lines intersect X-axis is (Q, 0).
The coordinates of the midpoint of the segment joining these points
= \(\frac{0 + Q}{2}), \\frac{P + 0}{2})) = \(\frac{Q}{2}), \\frac{P}{2}))
(2, -5) is the mid-point of PQ. So, \(\frac{Q}{2}), \\frac{P}{2})) = (2, -5)
Therefore, Q = 4 and P = -10
The coordinates of the points are P(0, -10) and Q(4, 0).