Question

Find the ratio in which the line 2 + 3 − 5 = 0 divides the line segment joining the

points (8, -9) and (2, 11). Also find the coordinates of the point of division.​

Answer 1

Answer:

Let the YZ plane divide the line segment joining points (−2,4,7) and (3,−5,8) in the ratio k:1.

Using section formula, the coordinates of point of intersection are given by,

(

k+1

k(3)−2

,

k+1

k(−5)+4

,

k+1

k(8)+7

)

On the YZ plane, the x-coordinate of any point is zero.

k+1

3k−2

=0

⇒3k−2=0

⇒k=

3

2

Thus the YZ plane divides the line segment formed by joining the given points in the ratio 2:3.