Q1 of 48 Page 102

Find the coordinates of the point which divides the line segment joining the points (3, 5) and (7, 9) internally in the ratio 2 : 3.

We know that


Coordinates of a point P(x,y) dividing the line segment joining A (x1, y1) and B (x2, y2) in the ratio m:n internally are


We have A → (3, 5)


and B → (7, 9).


Coordinates of point P(x,y) dividing AB in the ratio 2:3 internally are




is the required point.


More from this chapter

All 48 →
14

If the coordinates of P and Q are (a cos θ, b sin θ) and (–a sin θ, b cos θ) respectively, then prove that OP2 + OQ2 = a2 + b2, where O is the origin.

 15

If two vertices of an equilateral triangle are (0, 0) and then find the third vertex.

 2

Find the coordinates of the point which divides the line segment joining the points (5, –2) and externally in the ratio 7 : 9.

 3

Prove that the origin O divides the line segment joining the points, A(1, –3) and B(–3, 9) in the ratio 1 : 3 internally. Find the coordinates of the points dividing externally.