Find the co-ordinates of points of trisection of the line segment joining the point (6, -9) and the origin. - Mathematics

Sum

Find the co-ordinates of points of trisection of the line segment joining the point (6, -9) and the origin.

Solution

Let P and Q be the points of trisection of the line segment joining A (6, -9) and B (0, 0). P divides AB in the ratio 1: 2. Therefore, the co-ordinates of point P are

((1xx0+2xx6)/(1+2),(1xx0+2xx(-9))/(2+1))

=(12/3,-18/3)

=(4,-6)

Q divides AB in the ratio 2: 1. Therefore, the co-ordinates of point Q are

((2xx0+1xx6)/(2+1),(2xx0+1xx(-9))/(2+1))

=(6/3,-9/3)

=(2,-3)

Thus, the required points are (4, −6) and (2, −3).

Concept: Distance Formula
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APPEARS IN

Selina Concise Maths Class 10 ICSE
Chapter 13 Section and Mid-Point Formula
Exercise 13 (C) | Q 4 | Page 183