Q9 of 47 Page 1

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.

As point P is on y axis, let it be (0, m)


And point Q is on x axis, let it be (n, 0)


Given, mid-point of PQ is (2, -5)


And we know, the coordinates mid-point of line joining the coordinates (x1, y1) and (x2, y2) is



So, we have,




⇒ n = 4 and m = -10


Therefore, coordinates of P = (0, m) = (0, -10)


Coordinates of Q = (n, 0) = (4, 0)


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