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


Let the coordinates of P (0, y) and Q (x, 0).

So, the mid - point of P (0, y) and Q (x, 0) = M


Coordinates of M =


Mid - point of a line segment having points (x1, y1) and (x2, y2)


=


Given,


Mid - point of PQ is (2, - 5)



= 4 = x + 0


x = 4


= - 10 = y + 0


– 10 = y


So,


x = 4 and


y = - 10


Thus, the coordinates of P and Q are (0, - 10) and (4, 0)

17
1