As per the latest syllabus of 2020-21, students of Class 11 must be updated with any changes that might be crucial in covering the topics. NCERT Solutions for Class 11 Maths Chapter 11 Conic Sections give a complete idea about all the problems related to a circle, parabola, hyperbola and so on.
Therefore, you must go through the sections given in the syllabus and complete solving them before starting revision. And if you need a PDF for the Class 11 Maths Chapter 11 miscellaneous exercise, you can download it from our website directly.
NCERT Solutions for Class 11 Maths Chapter 11 Conic Sections
NCERT Class 11 Maths solutions are very helpful for students who are preparing for the final exam. These solutions offer an easier way to complete your homework. NCERT Solutions for Class 11 Maths are prepared under the guidance of teachers who are experts in their respective fields.
If you are solving NCERT Maths Chapter 11 and get stuck with a problem or cannot find the right answer, you can immediately take a cue from the solutions. You do not have to wait for the teacher to clear your doubts while solving sample papers also. These solutions are handy and can be easily downloaded from our website.
You can download CBSE NCERT Solutions for Class 11 Maths Chapter 11 Conic Sections from below.
Download NCERT Class 11 Maths Chapter 11 Solutions
What will you learn in CBSE Class 11 Maths Chapter 11 Conic Sections?
As per the latest syllabus of 2020-21, students of Class 11 must be updated with any changes that might be crucial in covering the topics. NCERT Solutions for Class 11 Maths Chapter 11 Conic Sections give a complete idea about all the problems related to circle, parabola, hyperbola and so on. Therefore, you must go through the sections given in the syllabus and complete solving them before starting revision. And if you need PDF for Class 11 Maths chapter 11 miscellaneous exercise, you can download it from our website directly.
Chapter-wise solutions for Class 11 Maths Chapter 11 are very effective for everyone who is solving the lessons on their own. You can easily download the solutions in the form of PDF and save for further use. These solutions are useful for offline Maths preparation as well. These solutions will also come handy during your revision. Also, make sure to start the revision only when you have complete the NCERT chapters thoroughly. You can easily download Class 11 maths chapter 11 NCERT solutions in the form of free PDF with open access.
Chapter 11 has following excercises:
- EXERCISE 11.1 – 15 Questions with Solutions
- EXERCISE 11.2 – 12 Questions with Solutions
- EXERCISE 11.3 – 20 Questions with Solutions
- EXERCISE 11.4 – 15 Questions with Solutions.
Circle
A circle is the set of all points in a plane, which are at a fixed distance from a fixed point in the plane. The fixed point is called the centre of the circle and the distance from centre to any point on the circle is called the radius of the circle.
The equation of a circle with radius r having centre (h, k) is given by (x – h)2 + (y – k)2 = r2.
The general equation of the circle is given by x2 + y2 + 2gx + 2fy + c = 0 , where, g, f and c are constants.
- The centre of the circle is (-g, -f).
The general equation of the circle passing through origin is x2 + y2 + 2gx + 2fy = 0.
The parametric equation of the circle x2 + y2 = r2 are given by x = r cos θ, y = r sin θ, where θ is the parametre and the parametric equation of the circle (x – h)2 + (y – k)2 = r2 are given by x = h + r cos θ, y = k + r sin θ.
Note: The general equation of the circle involves three constants which implies that at least three conditions are required to determine a circle uniquely.
Parabola
In a parabola, the set of points P have distances from a fixed point F in one plane and equal in distance from a fixed line I in the place. F is called the focus and the fixed line I is called directrix of the parabola.
|
Forms of parabola |
y2= 4ax |
y2 = -4ax |
x2 = 4ay |
x2 = -4ay |
|
Axis of parabola |
y = 0 |
y = 0 |
x = 0 |
x = 0 |
|
Directrix of parabola |
x = -a |
x = a |
y = -a |
y = a |
|
Vertex |
(0, 0) |
(0, 0) |
(0, 0) |
(0, 0) |
|
Focus |
(a, 0) |
(-a, 0) |
(0, a) |
(0, -a) |
|
Length of latus rectum |
4a |
4a |
4a |
4a |
|
Focal length |
|x + a| |
|x – a| |
|y + a| |
|y – a| |
Ellipse
An ellipse is a given set of points in a plane where the sum of the distances from two fixed points is always constant. Alternatively, the set of all points in the plane with equal distances from a fixed point in the plane has a constat ratio, and is less than the distance from a fixed point in the plane.
Fixed point of the ellipse is called focus.
The fixed lines is called a directrix
The constant ratio (e) is called the eccentricity of the ellipse.
Hyperbola
It is defined as the locus of a point in a given plane which moves in such a way that ratio of its distance from the fixed point to the distance from a fixed line is always constant. The ratio is also greater than unity. There are two standard forms of hyperbola.
We have covered the complete guide on CBSE NCERT Solutions for Class 11 Maths Chapter 11 Conic Sections. Feel free to ask us any questions in the comment section below.