NCERT Solutions for Class 11 Maths Chapter 12 Miscellaneous Exercises

Content Curator

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

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

Also check:

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

Also check:

Math Study Guides
Maths Important Formulas	Maths MCQs	Comparison Articles in Maths
Difference Between Topics in Maths	Math Study Material	Arithmetic

CBSE CLASS XII Related Questions

1.
Find the product of the maximum and minimum values of the function \( f(x) = \cos x - \frac{1}{2}\cos 2x,\ x \in \left[0, \frac{\pi}{2}\right] \).
View Solution
2.
The motion of a particle is described as \( S = 2t^{3} - 6t^{2} + 8 \). Its velocity \( \frac{dS}{dt} \), when the acceleration \( \frac{d^{2}S}{dt^{2}} \) vanishes is :
- \( -6 \) unit/sec
- \( 0 \) unit/sec
- \( 18 \) unit/sec
- \( 6 \) unit/sec
View Solution
3.
For the following Linear Programming Problem, shade the feasible region on the graph and find the coordinates of its corner points :
Minimize \(Z = 18x + 10y\)
subject to constraints
\[ \begin{aligned} 4x + y &\ge 20 \\ 2x + 3y &\ge 30 \\ x, y &\ge 0. \end{aligned} \]
View Solution
4.
\( \int e^{x}\left( \frac{2+\sin 2x}{1+\cos 2x} \right) dx \) is equal to :
- \( \log \cos 2x + C \)
- \( \sec^{2} 2x + C \)
- \( e^{x}\tan x + C \)
- \( e^{x}\cot x + C \)
View Solution
5.
If \(P(A) = 0.3\), \(P(B) = 0.7\) and \(P(B/A) = 0.5\), then \(P(A \cup B)\) is :
- \(0.35\)
- \(0.85\)
- \(0.5\)
- \(0.21\)
View Solution
6.
Solve the differential equation \( (x+y)\,dy + (x-y)\,dx = 0 \), given that \( y(1) = 1 \).
View Solution

View All

Similar Mathematics Concepts

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

Section Formula 3 Dimension: Derivation & Solved Examples

Coplanarity of Two Lines: Definition, Conditions & Solved Examples

Introduction to Three-dimensional Geometry: Important Questions

NCERT Solutions for Class 11 Maths Chapter 12 Exercise 12.1

NCERT Solutions for Class 11 Maths Chapter 12 Exercise 12.2

NCERT Solutions for Class 11 Maths Chapter 12 Exercise 12.3

Perimeter of Hexagon Formula & Solved Examples

CBSE CLASS XII Previous Year Papers

Mathematics

Mathematics Preparation Guides

Sequence and Series: Types, Formulas & Examples

Measures of Dispersion: Types, Absolute & Relative measure

Events and their Types in Probability

Angle between two lines: Derivation, Types, Formulae

Mathematics: Latus rectum of Ellipse- Definition, Equation, Examples and Sample Questions

Pascal’s Triangle: Construction, Notation, Pattern, Properties

Ellipse: Standard Equation, Derivation & Formula

Circle: Definition, Equation and Segments

Geometric Progression: Definition, Sum of N Terms, Formula

Conic Sections: Formula, Equations & Examples

Parabola: Graph, General Equation, Formulae, Latus Rectum, Focal, Normal , Tangent, Sample Questions

Horizontal and Vertical Lines: Formula, Examples & Equations

Conic Sections: Parabola, Hyperbola, Ellipse, Circle

Eccentricity of Ellipse Formula, Definition, Derivation & Examples

Complex Numbers and Quadratic Equations

Real Valued Functions: Types, Operations & Examples

Latus Rectum of Parabola: Formula, Length & Derivation

Venn Diagrams: Symbols, Formula, Set Operations & Examples

Types of Events in Probability

Types of Sets: What is Set, Examples & Symbols

Mathematics NCERT Solutions

Factorial Formula: Calculation, Values, Application

Multiplication Rule of Probability: Proof and Solved Examples

Logarithms: Rules, Properties and Formula

Mathematical Logic: Conjunction, Disjunction and Negation

Value of Log 1: Logarithmic Functions, Value of In 1, Logarithmic Values

Solving Inequalities

Tautology: Operators, Logic Symbols, and Truth Table

Quotient Rule: Definition, Formula, Applications and Sample Questions

Conjugate of a Complex Number: Definition, Properties and Equations

Difference between Ln and Log: Definitions and Properties

You can also check

NCERT Solutions for Class 11 Maths Chapter 12 Miscellaneous Exercises

CBSE CLASS XII Related Questions

1.
Find the product of the maximum and minimum values of the function \( f(x) = \cos x - \frac{1}{2}\cos 2x,\ x \in \left[0, \frac{\pi}{2}\right] \).

2.
The motion of a particle is described as \( S = 2t^{3} - 6t^{2} + 8 \). Its velocity \( \frac{dS}{dt} \), when the acceleration \( \frac{d^{2}S}{dt^{2}} \) vanishes is :

3.
For the following Linear Programming Problem, shade the feasible region on the graph and find the coordinates of its corner points :
Minimize \(Z = 18x + 10y\)
subject to constraints
\[ \begin{aligned} 4x + y &\ge 20 \\ 2x + 3y &\ge 30 \\ x, y &\ge 0. \end{aligned} \]

4.
\( \int e^{x}\left( \frac{2+\sin 2x}{1+\cos 2x} \right) dx \) is equal to :

5.
If \(P(A) = 0.3\), \(P(B) = 0.7\) and \(P(B/A) = 0.5\), then \(P(A \cup B)\) is :

6.
Solve the differential equation \( (x+y)\,dy + (x-y)\,dx = 0 \), given that \( y(1) = 1 \).

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

NCERT Solutions for Class 11 Maths Chapter 12 Miscellaneous Exercises

CBSE CLASS XII Related Questions

1.Find the product of the maximum and minimum values of the function \( f(x) = \cos x - \frac{1}{2}\cos 2x,\ x \in \left[0, \frac{\pi}{2}\right] \).

2.The motion of a particle is described as \( S = 2t^{3} - 6t^{2} + 8 \). Its velocity \( \frac{dS}{dt} \), when the acceleration \( \frac{d^{2}S}{dt^{2}} \) vanishes is :

3.For the following Linear Programming Problem, shade the feasible region on the graph and find the coordinates of its corner points :Minimize \(Z = 18x + 10y\)subject to constraints\[ \begin{aligned} 4x + y &\ge 20 \\ 2x + 3y &\ge 30 \\ x, y &\ge 0. \end{aligned} \]

4.\( \int e^{x}\left( \frac{2+\sin 2x}{1+\cos 2x} \right) dx \) is equal to :

5.If \(P(A) = 0.3\), \(P(B) = 0.7\) and \(P(B/A) = 0.5\), then \(P(A \cup B)\) is :

6.Solve the differential equation \( (x+y)\,dy + (x-y)\,dx = 0 \), given that \( y(1) = 1 \).

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Find the product of the maximum and minimum values of the function \( f(x) = \cos x - \frac{1}{2}\cos 2x,\ x \in \left[0, \frac{\pi}{2}\right] \).

2.
The motion of a particle is described as \( S = 2t^{3} - 6t^{2} + 8 \). Its velocity \( \frac{dS}{dt} \), when the acceleration \( \frac{d^{2}S}{dt^{2}} \) vanishes is :

3.
For the following Linear Programming Problem, shade the feasible region on the graph and find the coordinates of its corner points :
Minimize \(Z = 18x + 10y\)
subject to constraints
\[ \begin{aligned} 4x + y &\ge 20 \\ 2x + 3y &\ge 30 \\ x, y &\ge 0. \end{aligned} \]

4.
\( \int e^{x}\left( \frac{2+\sin 2x}{1+\cos 2x} \right) dx \) is equal to :

5.
If \(P(A) = 0.3\), \(P(B) = 0.7\) and \(P(B/A) = 0.5\), then \(P(A \cup B)\) is :

6.
Solve the differential equation \( (x+y)\,dy + (x-y)\,dx = 0 \), given that \( y(1) = 1 \).