NCERT Solutions for Class 11 Maths Chapter 12 Miscellaneous Exercises

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Class 11 Maths NCERT Solutions Chapter 12 Introduction to Three Dimensional Geometry Miscellaneous Exercises is based on the following concepts:

Coordinate Axes and Coordinate Planes in Three Dimensional Space
Coordinates of a Point in Space
Distance between Two Points
Section Formula

Download PDF NCERT Solutions for Class 12 Introduction to Three Dimensional Geometry Miscellaneous Exercises

Check out the solutions of Class 11 Maths NCERT Solutions Chapter 12 Introduction to Three Dimensional Geometry Miscellaneous Exercises

Read More: NCERT Solutions For Class 11 Maths Chapter 12 Introduction to Three Dimensional Geometry

Also check other Exercise Solutions of Class 11 Maths Chapter 12 Introduction to Three Dimensional Geometry

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Chapter Related Topics
Angle Between Two Plane	Angle between two lines	Angle between line and plane

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CBSE CLASS XII Related Questions

1.
A function \[ f:\mathbb{R}-\left\{\frac{3}{5}\right\} \to \mathbb{R}-\left\{\frac{3}{5}\right\} \] is defined as \[ f(x)=\frac{3x+2}{5x-3}. \] Show that \(f\) is one-one and onto.
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2.
For \[ f(x)=x+\frac{1}{x}, \quad x\neq 0. \]
- local maximum value is 2
- local minimum value is \( -2 \)
- local maximum value is \( -2 \)
- local minimum value \( < \) local maximum value
View Solution
3.
Find the domain of \[ q(x)=\cos^{-1}(4x^2-3). \] Hence, find the value of \(x\) for which \[ q(x)=0. \] Also, write the range of \[ 3q(x)-\pi. \]
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4.
Check whether \[ f:\mathbb{R}-\{3\}\rightarrow\mathbb{R} \] defined as \[ f(x)=\frac{x-2}{x-3} \] is onto or not.
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5.
Sports car racing is a form of motorsport which uses sports car prototypes.The competition is held on special tracks designed in various shapes.
The equation of a sports car racing track is given as: \[ f(x)= \begin{cases} x^4-4x^2+4, & 0\leq x<3,\\ x^2+40, & x\geq 3 \end{cases} \] Based on this information:
6.
For a square matrix \(A\), \[ (3A)^{-1}= \]
- \( 3A^{-1} \)
- \( 9A^{-1} \)
- \( \frac{1}{3} A^{-1} \)
- \( \frac{1}{9} A^{-1} \)
View Solution

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Introduction to Three-Dimensional Geometry: Distance, Important Formulae

Angle Between Two Planes: Definition Formula & Examples

NCERT Solutions For Class 11 Maths Chapter 12: Introduction to Three Dimensional Geometry

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NCERT Solutions for Class 11 Maths Chapter 12 Exercise 12.1

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NCERT Solutions for Class 11 Maths Chapter 12 Exercise 12.3

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