NCERT Solutions for Class 12 Maths Chapter 11
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Get 100 percent accurate NCERT Solutions for Class 12 Maths Chapter 11 (Three Dimensional Geometry) solved by expert Maths teachers. We provide step by step solutions for questions given in Class 12 maths text-book as per CBSE Board guidelines from the latest NCERT book for Class 12 maths. The topics and sub-topics in Chapter 11 Three Dimensional Geometry
11.2 Direction Cosines and Direction Ratios of a Line
11.2.1 Relation between the direction cosines of a line
11.2.2 Direction cosines of a line passing through two points
11.3 Equation of a Line in Space
11.3.1 Equation of a line through a given point and parallel to a given vector
11.3.2 Equation of a line passing through two given points
11.4 Angle between Two Lines
11.5 Shortest Distance between Two Lines
11.5.1 Distance between two skew lines
11.5.2 Distance between parallel lines
11.6.1 Equation of a plane in normal form
11.6.2 Equation of a plane perpendicular to a given vector and passing through a given point
11.6.3 Equation of a plane passing through three non collinear points
11.6.4 Intercept form of the equation of a plane
11.6.5 Plane passing through the intersection of two given planes
11.7 Coplanarity of Two Lines
11.8 Angle between Two Planes
11.9 Distance of a Point from a Plane
11.10 Angle between a Line and a Plane.
We cover all exercises in the chapter given below:-
EXERCISE 11.1 - 5 Questions with Solutions
EXERCISE 11.2 - 17 Questions with Solutions
EXERCISE 11.3 - 14 Questions with Solutions.
Other than given exercises, you should also practice all the solved examples given in the book to clear your concepts on Three Dimensional Geometry. You can also download the free PDF of Chapter 11 Three Dimensional Geometry or save the solution images and take the print out to keep it handy for your exam preparation.