CBSE Class 12 Sample Paper for 2021 Boards

CBSE Class 12 Sample Paper for 2020 Boards →
Class 12
Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Question 14 - CBSE Class 12 Sample Paper for 2021 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at August 10, 2026 by

Find the coordinates of the point where the line (x+3)/3 = (y-1)/(-1) = (z-5)/(-5) cuts the XY Plane.

 

Find coordinates of point where the line cuts x+3/3 = y-1/-1 XY Plane

Question 14 - CBSE Class 12 Sample Paper for 2021 Boards - Part 2

Note : This is similar to Example 30 of NCERT – Chapter 11 Class 12 Three Dimensional Geometry

Check the answer here https:// www.teachoo.com /3586/756/Example-30---Find-point-where-line-crosses-the-XY-plane/category/Examples/

Remove Ads
Teachoo Ā· Class 12 Explore Class 12

Transcript

Question 14 Find the coordinates of the point where the line (š‘„ + 3)/3 = (š‘¦ āˆ’ 1)/(āˆ’1) = (š‘§ āˆ’ 5)/(āˆ’5) cuts the XY Plane. If line (š‘„ + 3)/3 = (š‘¦ āˆ’ 1)/(āˆ’1) = (š‘§ āˆ’ 5)/(āˆ’5) cuts the XY Plane Then z = 0 So, let coordinates of point be (x, y, 0) Now, (š‘„ + 3)/3 = (š‘¦ āˆ’ 1)/(āˆ’1) = (š‘§ āˆ’ 5)/(āˆ’5) = k Thus, x = 3k āˆ’ 3, y = āˆ’k + 1, z = āˆ’5k + 5 Since z = 0 āˆ’5k + 5 = 0 5k = 5 k = 5/5 k = 1 Now, x = 3k āˆ’ 3 = 3(1) āˆ’ 3 = 0 y = āˆ’k + 1 = āˆ’1 + 1 = 0 Thus, Coordinates of Point are (0, 0, 0)

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

Many students prefer Teachoo Black for a smooth, ad-free learning experience.