Plane

Question 1 (a) Deleted for CBSE Board 2024 Exams

down arrow in sibling posts in Teachoo

Question 1 (b) Deleted for CBSE Board 2024 Exams

down arrow in sibling posts in Teachoo

Question 1 (c) Important Deleted for CBSE Board 2024 Exams

down arrow in sibling posts in Teachoo

Question 1 (d) Important Deleted for CBSE Board 2024 Exams

down arrow in sibling posts in Teachoo

Question 2 Deleted for CBSE Board 2024 Exams

down arrow in sibling posts in Teachoo

Question 3 (a) Deleted for CBSE Board 2024 Exams

down arrow in sibling posts in Teachoo

Question 3 (b) Deleted for CBSE Board 2024 Exams

down arrow in sibling posts in Teachoo

Question 3 (c) Important Deleted for CBSE Board 2024 Exams

down arrow in sibling posts in Teachoo

Question 4 (a) Important Deleted for CBSE Board 2024 Exams

down arrow in sibling posts in Teachoo

Question 4 (b) Deleted for CBSE Board 2024 Exams

down arrow in sibling posts in Teachoo

Question 4 (c) Deleted for CBSE Board 2024 Exams

down arrow in sibling posts in Teachoo

Question 4 (d) Important Deleted for CBSE Board 2024 Exams

down arrow in sibling posts in Teachoo

Question 5 (a) Important Deleted for CBSE Board 2024 Exams

down arrow in sibling posts in Teachoo

Question 5 (b) Deleted for CBSE Board 2024 Exams

down arrow in sibling posts in Teachoo

Question 6 (a) Important Deleted for CBSE Board 2024 Exams

down arrow in sibling posts in Teachoo

Question 6 (b) Deleted for CBSE Board 2024 Exams

down arrow in sibling posts in Teachoo

Question 7 Deleted for CBSE Board 2024 Exams

down arrow in sibling posts in Teachoo

Question 8 Deleted for CBSE Board 2024 Exams

down arrow in sibling posts in Teachoo

Question 9 Deleted for CBSE Board 2024 Exams left arrow to signify that you are on this page You are here

down arrow in sibling posts in Teachoo

Question 10 Important Deleted for CBSE Board 2024 Exams

down arrow in sibling posts in Teachoo

Question 11 Important Deleted for CBSE Board 2024 Exams

down arrow in sibling posts in Teachoo

Question 12 Important Deleted for CBSE Board 2024 Exams

down arrow in sibling posts in Teachoo

Question 13 (a) Important Deleted for CBSE Board 2024 Exams

down arrow in sibling posts in Teachoo

Question 13 (b) Important Deleted for CBSE Board 2024 Exams

down arrow in sibling posts in Teachoo

Question 13 (c) Deleted for CBSE Board 2024 Exams

down arrow in sibling posts in Teachoo

Question 13 (d) Deleted for CBSE Board 2024 Exams

down arrow in sibling posts in Teachoo

Question 13 (e) Deleted for CBSE Board 2024 Exams

down arrow in sibling posts in Teachoo

Question 14 (a) Important Deleted for CBSE Board 2024 Exams

down arrow in sibling posts in Teachoo

Question 14 (b) Deleted for CBSE Board 2024 Exams

down arrow in sibling posts in Teachoo

Question 14 (c) Deleted for CBSE Board 2024 Exams

down arrow in sibling posts in Teachoo

Question 14 (d) Important Deleted for CBSE Board 2024 Exams

down arrow in sibling posts in Teachoo

Chapter 11 Class 12 Three Dimensional Geometry
Serial order wise

Ex 11.3, 9 - Equation of plane through intersection of planes - Ex 11.3

Ex 11.3, 9 - Chapter 11 Class 12 Three Dimensional Geometry - Part 2
Ex 11.3, 9 - Chapter 11 Class 12 Three Dimensional Geometry - Part 3


Transcript

Question 9 Find the equation of the plane through the intersection of the planes 3x y + 2z 4 = 0 and x + y + z 2 = 0 and the point (2, 2, 1). Equation of a plane passing through the intersection of planes A1x + B1y + C1z = d1 and A2x + B2y + C2z = d2 and through the point (x1, y1, z1) is (A1x + B1y + C1z d1) + (A2x + B2y + C2z d2) = 0 Given, plane passes through Equation of plane is (3x 1y + 2z 4) + (1x + 1y + 1z 2) = 0 3x y + 2z 4 + x + y + z 2 = 0 (3 + ) x + ( 1 + )y + (2 + )z + ( 4 2 ) = 0 We now find the value of The plane passes through (2, 2, 1) Putting (2, 2, 1) in (1), (3 + ) x + ( 1 + )y + (2 + )z + ( 4 2 ) = 0 (3 + ) 2 + ( 1 + ) 2 + (2 + ) 1 + ( 4 2 ) = 0 6 + 2 2 + 2 + 2 + 4 2 = 0 3 + 2 = 0 3 = 2 = Putting value of in (1), (3 + ) x + ( 1 + )y + (2 + )z + ( 4 2 ) = 0 3+ 2 3 x + 1+ 2 3 y + 2+ 2 3 z + 4 2 2 3 = 0 3 2 3 + 1 2 3 y + 2 2 3 z + 4+ 4 3 = 0 7 3 5 3 + 4 3 8 3 = 0 1 3 (7x 5y + 4z 8) = 0 7x 5y + 4z 8 = 0 The equation of plane is 7x 5y + 4z 8 = 0

Go Ad-free
Davneet Singh's photo - Co-founder, Teachoo

Made by

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, Social Science, Physics, Chemistry, Computer Science at Teachoo.