Last updated at Jan. 3, 2020 by Teachoo

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Misc 22 (Method 1) Distance between the two planes : 2x + 3y + 4z = 4 and 4x + 6y + 8z = 12 is (A) 2 units (B) 4 units (C) 8 units (D) 2 29 units Distance between two parallel planes Ax + By + Cz = 1 and Ax + By + Cz = 2 is + + So, Distance between the two planes = 4 6 2 2 + 3 2 + 4 2 = 2 4 + 9 + 16 = Hence, (D) is the correct option Misc 22 (Method 2) Distance between the two planes : 2x + 3y + 4z = 4 and 4x + 6y + 8z = 12 is (A) 2 units (B) 4 units (C) 8 units (D) 2 29 units Distance of a point ( 1 , 1 , 1 ) from the plane Ax + By + Cz = D is + + + + Let us take a point P ( 1 , 1 , 1 ) on the plane 2x + 3y + 4z = 4 2 1 + 3 1 + 4 1 = 4 Now, to find the distance of point P form plane 4x + 6y + 8z = 12, Comparing with Ax + By + Cz = D, A = 4, B = 6, C = 8, D = 12 Distance of P ( 1 , 1 , 1 ) from the plane 4x + 6y + 8z = 12 = 4 1 + 6 1 + 8 1 12 4 2 + 6 2 + 8 2 = 2 + + 12 16 + 36 + 64 = 2 12 116 = 8 12 4 29 = 4 2 29 = Hence, (D) is the correct option

Miscellaneous

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Important

Misc 2

Misc 3

Misc 4 Important

Misc 5 Important

Misc 6 Important

Misc 7

Misc 8 Important

Misc 9 Important

Misc 10

Misc 11 Important

Misc 12 Important

Misc 13 Important

Misc 14 Important

Misc 15 Important

Misc 16 Important

Misc 17 Important

Misc 18 Important

Misc 19 Important

Misc 20 Important

Misc 21 Important

Misc 22 Important You are here

Misc 23 Important

Chapter 11 Class 12 Three Dimensional Geometry

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About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.