 # Chapter 11 - Three dimensional Geometry

You will find important questions on three-dimensional geometry chapter 11 class12 on this page. These questions should be solved after the basics fundamentals of three-dimensional geometry are understood well. Practing the problems in this chapter 11 class 12 will help you solve any type of related questions easily.

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## Important Questions For Class 12 Chapter 11- Three Dimensional Geometry

1. Find the direction cosines of a line whose direction ratios are 2, -6, 3. (Answer: 7)

2. Find the direction cosines of a line that makes equal angles with the coordinate axes. (Answer: 1/√3,  1/√3, 1/√3)

3. Find the angles of triangle ABC whose vertices are A(-1, 3, 2), B (2, 3, 5) and C(3, 5, -2). (Answer: A = pi/2, B =cos-1(1/√3), C =cos-1(√2/5)

4. Find the angles between the lines whose direction ratios are 3, 2, -6 and 1, 2, 2. ( Answer: cos-1(5/21)

5. A line makes an angle 60 degree and 45 degrees with the positive direction of x-axis and y-axis respectively. What acute angle does it make with the z-axis? (Answer: 60 degrees)

### NCERT Questions for Class 12 Chapter 11- Three Dimensional Geometry      