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Ex 11.2, 2 - Chapter 11 Class 12 Three Dimensional Geometry
Last updated at May 29, 2023 by Teachoo
Ex 11.2
Ex 11.2, 1
Ex 11.2, 2 You are here
Ex 11.2, 3 Important
Ex 11.2, 4
Ex 11.2, 5 Important
Ex 11.2, 6
Ex 11.2, 7 Important
Ex 11.2, 8 (i) Important
Ex 11.2, 8 (ii)
Ex 11.2, 9 (i) Important
Ex 11.2, 9 (ii)
Ex 11.2, 10 Important
Ex 11.2, 11
Ex 11.2, 12 Important
Ex 11.2, 13 Important
Ex 11.2, 14
Ex 11.2, 15 Important
Question 1 Important Deleted for CBSE Board 2024 Exams
Question 2 Deleted for CBSE Board 2024 Exams
Chapter 11 Class 12 Three Dimensional Geometry
Serial order wise
Transcript
Ex 11.2, 2 Show that the line through the points (1, 1, 2), (3, 4, 2) is perpendicular to the line through the points (0, 3, 2) and (3, 5, 6). Two lines with direction ratios 1, 1, 1 and 2, 2, 2 are perpendicular to each other if + + = 0 Now, a line passing through (x1, y1, z1) and (x2, y2, z2) has the direction ratios (x2 x1), (y2 y1), (z2 z1) Now, 1 2 + 1 2 + 1 2 = (2 3) + (5 2) + ( 4 4) = 6 + 10 + ( 16) = 16 16 = 0 Therefore the given two lines are perpendicular.
