NCERT Solutions For Class 11 Maths Chapter 11: Conic Sections

Content Curator

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:

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 vector and cartesian equations of the line passing through the point of intersection of the lines $ \vec{r} = (\hat{i} + \hat{j} - \hat{k}) + \lambda(3\hat{i} - \hat{j}) $ and $ \vec{r} = (4\hat{i} - \hat{k}) + \mu(2\hat{i} + 3\hat{k}) $ and parallel to the line $ \frac{x - 1}{-2} = \frac{7 - y}{-3} = z $.
View Solution
2.
Find:

The principal value of \[ \sec^{-1}(\sqrt{2})+2\csc^{-1}(-2) \] is:
- $-\frac{\pi}{2}$
- $-\frac{\pi}{4}$
- $\frac{\pi}{4}$
- $\frac{\pi}{2}$
View Solution
3.
A relation $R$ on set $A=\{1,2,3\}$ defined as $R=\{(1,2),(2,1),(2,2)\}$ is
- Reflexive only
- Reflexive and Transitive
- Symmetric and Transitive
- Symmetric only
View Solution
4.
At a birthday party, children are being served orange juice in conical cups, as shown in the figure.

Each cup is 15 cm deep and has a radius 5 cm. The juice is being poured into this cup at a rate of 0·1 cm3/s.
On the basis of the above information, answer the following questions :
5.
If $ xy = e^{x - y} $, then find $ \frac{dy}{dx} $.
View Solution
6.
Find:

If the function \[ f(x)= \begin{cases} \frac{\sin x}{x}+\cos x, & x\neq0\\ k, & x=0 \end{cases} \] is continuous at $x=0$, then find the value of $k$.
- $0$
- $-2$
- $-1$
- $2$
View Solution