NCERT Solutions For Class 11 Maths Chapter 11: Conic Sections

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NCERT Solutions for Class 11 Maths Chapter 11 Conic Sections are provided in the article. Conic section is a curve formed by intersecting a plane with a cone. The curves that are formed are Circles, Ellipse, Parabola, and Hyperbola.

Download: NCERT Solutions for Class 11 Mathematics Chapter 11 pdf

Class 11 Maths NCERT Solutions Chapter 11 Conic Sectios

Class 11 Maths NCERT Solutions Chapter 11 Conic Sections are provided below:

Also read: Concept Notes on Conic Sections

Important Topics: Class 11 Maths NCERT Solutions Chapter 11 Conic Sections

Important Topics Class 11 Maths NCERT Solutions Chapter 11 Conic Sections are elaborated below:

Sections of a Cone

There are three sections of a cone or conic sections: Parabola, Hyperbola, and Ellipse (Circle is a special kind of Ellipse).

Circle

Circle is the simplest conic section. As a conic section, circle is intersection of a plane perpendicular to the cone's axis.

Please Note:

Value of eccentricity(e) for a circle is e = 0.

Circle has no directrix.

General form of the equation of a circle with center at (h, k), and radius r: (x−h)² + (y−k)² = r²

Parabola

When intersecting plane is at an angle to the surface of the cone, thwe obtained conic section is called the parabola. It is a U-shaped conic section.

The value of eccentricity(e) for parabola is e = 1

Ellipse

Ellipse is a conic section that is formed when plane intersects with cone at an angle. Ellipse has 2 foci, a major axis, as well as a minor axis.

Please Note:

Value of eccentricity(e) for ellipse is e < 1.
Ellipse has 2 directrices.
The conic section formula for an ellipse is: (x−h)²/a² + (y−k)²/b² = 1

Hyperbola

Hyperbola is formed when interesting plane is parallel to axis of the cone, and intersect with both nappes of the double cone.

General form of equation of hyperbola with (h, k) as the center is:

(x−h)²/a² - (y−k)²/b² = 1

NCERT Solutions For Class 11 Maths Chapter 11 Exercises:

The detailed solutions for all the NCERT Solutions for Chapter 11 Conic Sections under different exercises are as follows:

Also check:

Chapter Related Topics
Eccentricity of Ellipse	Latus rectum of Ellipse	Parabola Formula
Latus rectum of Hyperbola	Eccentricity	Locus

Also check:

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CBSE CLASS XII Related Questions

1.
If $f(x) = 3x - b$, $x>1$ ; $f(x) = 11$, $x = 1$ ; $f(x) = -3x - 2b$, $x<1$ is continuous at $x = 1$, then the values of $a$ and $b$ are :
- $a = 3$, $b = 5$
- $a = 5$, $b = 3$
- $a = 8$, $b = 5$
- $a = -3$, $b = 5$
View Solution
2.
Find : \[ I = \int \frac{x + \sin x}{1 + \cos x} \, dx \]
View Solution
3.
Draw a rough sketch for the curve $y = 2 + |x + 1|$. Using integration, find the area of the region bounded by the curve $y = 2 + |x + 1|$, $x = -4$, $x = 3$, and $y = 0$.
View Solution
4.
If \[ A = \begin{bmatrix} 1 & 2 & 0 \\ -2 & -1 & -2 \\ 0 & -1 & 1 \end{bmatrix} \] then find $ A^{-1} $. Hence, solve the system of linear equations: \[ x - 2y = 10, \] \[ 2x - y - z = 8, \] \[ -2y + z = 7. \]
View Solution
5.
Evaluate: $ \tan^{-1} \left[ 2 \sin \left( 2 \cos^{-1} \frac{\sqrt{3}}{2} \right) \right]$
View Solution
6.
If $M$ and $N$ are square matrices of order 3 such that $\det(M) = m$ and $MN = mI$, then $\det(N)$ is equal to :
- $-1$
- 1
- $-m^2$
- $m^2$
View Solution

View All

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NCERT Solutions for Class 11 Maths Chapter 11 Exercise 11.1

NCERT Solutions for Class 11 Maths Chapter 11 Exercise 11.2

NCERT Solutions for Class 11 Maths Chapter 11 Exercise 11.3

NCERT Solutions for Class 11 Maths Chapter 11 Exercise 11.4

NCERT Solutions for Class 11 Maths Chapter 11 Miscellaneous Exercises

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NCERT Solutions For Class 11 Maths Chapter 11: Conic Sections

Class 11 Maths NCERT Solutions Chapter 11 Conic Sectios

Important Topics: Class 11 Maths NCERT Solutions Chapter 11 Conic Sections

NCERT Solutions For Class 11 Maths Chapter 11 Exercises:

CBSE CLASS XII Related Questions

1.
If $f(x) = 3x - b$, $x>1$ ; $f(x) = 11$, $x = 1$ ; $f(x) = -3x - 2b$, $x<1$ is continuous at $x = 1$, then the values of $a$ and $b$ are :

2.
Find : \[ I = \int \frac{x + \sin x}{1 + \cos x} \, dx \]

3.
Draw a rough sketch for the curve $y = 2 + |x + 1|$. Using integration, find the area of the region bounded by the curve $y = 2 + |x + 1|$, $x = -4$, $x = 3$, and $y = 0$.

4.
If \[ A = \begin{bmatrix} 1 & 2 & 0 \\ -2 & -1 & -2 \\ 0 & -1 & 1 \end{bmatrix} \] then find \( A^{-1} \). Hence, solve the system of linear equations: \[ x - 2y = 10, \] \[ 2x - y - z = 8, \] \[ -2y + z = 7. \]

5.
Evaluate: $ \tan^{-1} \left[ 2 \sin \left( 2 \cos^{-1} \frac{\sqrt{3}}{2} \right) \right]$

6.
If $M$ and $N$ are square matrices of order 3 such that $\det(M) = m$ and $MN = mI$, then $\det(N)$ is equal to :

Similar Mathematics Concepts

Comments

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NCERT Solutions For Class 11 Maths Chapter 11: Conic Sections

Class 11 Maths NCERT Solutions Chapter 11 Conic Sectios

Important Topics: Class 11 Maths NCERT Solutions Chapter 11 Conic Sections

NCERT Solutions For Class 11 Maths Chapter 11 Exercises:

CBSE CLASS XII Related Questions

1.If $f(x) = 3x - b$, $x>1$ ; $f(x) = 11$, $x = 1$ ; $f(x) = -3x - 2b$, $x<1$ is continuous at $x = 1$, then the values of $a$ and $b$ are :

2. Find : \[ I = \int \frac{x + \sin x}{1 + \cos x} \, dx \]

3.Draw a rough sketch for the curve $y = 2 + |x + 1|$. Using integration, find the area of the region bounded by the curve $y = 2 + |x + 1|$, $x = -4$, $x = 3$, and $y = 0$.

4.If \[ A = \begin{bmatrix} 1 & 2 & 0 \\ -2 & -1 & -2 \\ 0 & -1 & 1 \end{bmatrix} \] then find \( A^{-1} \). Hence, solve the system of linear equations: \[ x - 2y = 10, \] \[ 2x - y - z = 8, \] \[ -2y + z = 7. \]

5.Evaluate: $ \tan^{-1} \left[ 2 \sin \left( 2 \cos^{-1} \frac{\sqrt{3}}{2} \right) \right]$

6.If $M$ and $N$ are square matrices of order 3 such that $\det(M) = m$ and $MN = mI$, then $\det(N)$ is equal to :

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
If $f(x) = 3x - b$, $x>1$ ; $f(x) = 11$, $x = 1$ ; $f(x) = -3x - 2b$, $x<1$ is continuous at $x = 1$, then the values of $a$ and $b$ are :

2.
Find : \[ I = \int \frac{x + \sin x}{1 + \cos x} \, dx \]

3.
Draw a rough sketch for the curve $y = 2 + |x + 1|$. Using integration, find the area of the region bounded by the curve $y = 2 + |x + 1|$, $x = -4$, $x = 3$, and $y = 0$.

4.
If \[ A = \begin{bmatrix} 1 & 2 & 0 \\ -2 & -1 & -2 \\ 0 & -1 & 1 \end{bmatrix} \] then find \( A^{-1} \). Hence, solve the system of linear equations: \[ x - 2y = 10, \] \[ 2x - y - z = 8, \] \[ -2y + z = 7. \]

5.
Evaluate: $ \tan^{-1} \left[ 2 \sin \left( 2 \cos^{-1} \frac{\sqrt{3}}{2} \right) \right]$

6.
If $M$ and $N$ are square matrices of order 3 such that $\det(M) = m$ and $MN = mI$, then $\det(N)$ is equal to :