Q5 of 10 Page 171

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

On the y-axis, the coordinate of x will be zero. Hence, we can say that the coordinates of P = (0, y).


On the x-axis, the coordinate of y will be zero. Hence, we can say that the coordinates of Q = (x,0).


Also, it is given midpoint is (–2, –5)


The midpoint of the line segment joining the points and is .


∴ ,


⇒


Hence coordinates of P and Q are (0,–10) and (4,0) respectively.


More from this chapter

All 10 →
3

Three consecutive vertices of a parallelogram are (–2, –1) (1, 0) and (4, 3). Find the coordinates of the fourth vertex.

 4

If P(9a – 2, –b) divides the line segment joining A(3a + 1 ,–3) and B(8a ,5) in the ratio 3:1. Find the values of a & b.

 6

Find the ratio in which the line 2x + 3y–5 = 0 divides the line segment joining the points (8,–9) and (2, 1). AlSo, find the coordinates.

 7

Find the value of 'a 'So, that the point (3, a) lies on the line represented by 2x – 3y = 5.