Last updated at Aug. 18, 2020 by Teachoo

Transcript

Ex 11.3, 14 In the following cases, find the distance of each of the given points from the corresponding given plane. The distance of the point (x1, y1, z1) from the plane Ax + By + Cz = D is |(๐จ๐_๐ + ใ๐ฉ๐ใ_๐ +ใ ๐ช๐ใ_๐ โ ๐ซ)/โ(๐จ^๐ + ๐ฉ^๐ + ๐ช^๐ )| Given, the point is (3, โ2, 1) So, ๐ฅ_1 = 3, ๐ฆ_1 = โ2, ๐ง_1 = 1 a And the equation of the plane is 2x โ y + 2z + 3 = 0 2x โ y + 2z = โ3 โ(2x โ y + 2z) = 3 โ2x + y โ 2z = 3 Comparing with Ax + By + Cz = D, A = โ2, B = 1, C = โ2, D = 3 Now, Distance of the point form the plane = |((โ2 ร 3) + (1 ร โ2) + (โ2 ร 1) โ 3)/โ((โ2)^2 + 1^2 + (2)^2 )| = |((โ6) + (โ2) + (โ2) โ 3)/โ(4 + 1 + 4)| = |(โ13)/โ9| = |(โ13)/3| = ๐๐/๐

Ex 11.3

Ex 11.3, 1 (a)

Ex 11.3, 1 (b)

Ex 11.3, 1 (c) Important

Ex 11.3, 1 (d) Important

Ex 11.3, 2

Ex 11.3, 3 (a)

Ex 11.3, 3 (b)

Ex 11.3, 3 (c) Important

Ex 11.3, 4 (a) Important

Ex 11.3, 4 (b)

Ex 11.3, 4 (c)

Ex 11.3, 4 (d) Important

Ex 11.3, 5 (a) Important

Ex 11.3, 5 (b)

Ex 11.3, 6 (a) Important

Ex 11.3, 6 (b)

Ex 11.3, 7

Ex 11.3, 8

Ex 11.3, 9

Ex 11.3, 10 Important

Ex 11.3, 11 Important

Ex 11.3, 12 Important Deleted for CBSE Board 2022 Exams

Ex 11.3, 13 (a) Important Deleted for CBSE Board 2022 Exams

Ex 11.3, 13 (b) Important

Ex 11.3, 13 (c)

Ex 11.3, 13 (d)

Ex 11.3, 13 (e) Deleted for CBSE Board 2022 Exams

Ex 11.3, 14 (a) Important

Ex 11.3, 14 (b) You are here

Ex 11.3, 14 (c)

Ex 11.3, 14 (d) Important

Chapter 11 Class 12 Three Dimensional Geometry (Term 2)

Serial order wise

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.