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NCERT Class 12 Maths Chapter 11: Three Dimensional Geometry 5 Questions Solved

NCERT Solutions for Class 12 Maths Chapter 11 Three Dimensional Geometry — Exercise 11.1

Click any question below for its step-by-step NCERT textbook solution, concept hints, and worked explanation.

Question 1
A directed line makes angles 90°,135°,45° with the positive x,y,z axes. Find its direction cosines.
Question 2
Find direction cosines of a line equally inclined to the positive coordinate axes.
Question 3
Find direction cosines for a line with direction ratios (−18,12,−4).
Question 4
Show that A(2,3,4),B(−1,−2,1),C(5,8,7) are collinear.
Question 5
Find direction cosines of the sides of triangle A(3,5,−4),B(−1,1,2),C(−5,−5,−2). Use orientations AB,BC,CA.