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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 Dec. 16, 2024 by Teachoo

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

 

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/

Transcript

Question 14 Find the coordinates of the point where the line (𝑥 + 3)/3 = (𝑦 − 1)/(−1) = (𝑧 − 5)/(−5) cuts the XY Plane. If line (𝑥 + 3)/3 = (𝑦 − 1)/(−1) = (𝑧 − 5)/(−5) cuts the XY Plane Then z = 0 So, let coordinates of point be (x, y, 0) Now, (𝑥 + 3)/3 = (𝑦 − 1)/(−1) = (𝑧 − 5)/(−5) = k Thus, x = 3k − 3, y = −k + 1, z = −5k + 5 Since z = 0 −5k + 5 = 0 5k = 5 k = 5/5 k = 1 Now, x = 3k − 3 = 3(1) − 3 = 0 y = −k + 1 = −1 + 1 = 0 Thus, Coordinates of Point are (0, 0, 0)
  1. Class 12
  2. Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

    3. CBSE Class 12 Sample Paper for 2021 Boards

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

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo