Q. 85.0( 1 Vote )

# XOZ-plane divides

Given: points A(2, 3, 1) and B(6, 7, 1)

To find: the ratio in which the line joining given points is divided by the XOZ-plane

Formula used:

Section Formula:

A line AB is divided by C in m:n where A(x, y, z) and B(a, b, c).

The coordinates of C is given by,

the y coordinate is always 0 on XOZ-plane

Let Point C(x, 0, z), and C divides AB in ratio k: 1

Therefore, m = k and n = 1

A(2, 3, 1) and B(6, 7, 1)

Coordinates of C using section formula:

On comparing:

7k + 3 = 0(k + 1)

7k + 3 = 0

7k = –3

Hence, C divides AB externally in ratio 3: 7

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

The ratio in whicRD Sharma - Mathematics

The ratio in whicRD Sharma - Mathematics

If a parallelepipRD Sharma - Mathematics

Two vertices of aRS Aggarwal - Mathematics

If the origin is RS Aggarwal - Mathematics

If the three consRS Aggarwal - Mathematics

Find the ratio inRD Sharma - Mathematics

Write the coordinRD Sharma - Mathematics

Find the coordinaRD Sharma - Mathematics

Find the centroidRD Sharma - Mathematics