CBSE Class 12 Sample Paper for 2021 Boards

Class 12
Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

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

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Note : This is similar to Example 30 of NCERT β 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/

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### Transcript

Question 14 Find the coordinates of the point where the line (π₯ + 3)/3 = (π¦ β 1)/(β1) = (π§ β 5)/(β5) cuts the XY Plane. If line (π₯ + 3)/3 = (π¦ β 1)/(β1) = (π§ β 5)/(β5) cuts the XY Plane Then z = 0 So, let coordinates of point be (x, y, 0) Now, (π₯ + 3)/3 = (π¦ β 1)/(β1) = (π§ β 5)/(β5) = k Thus, x = 3k β 3, y = βk + 1, z = β5k + 5 Since z = 0 β5k + 5 = 0 5k = 5 k = 5/5 k = 1 Now, x = 3k β 3 = 3(1) β 3 = 0 y = βk + 1 = β1 + 1 = 0 Thus, Coordinates of Point are (0, 0, 0)