11. Conic Sections

7 LECTURES

• This page has links to complete syllabus of NCERT Chapter 11 Conic Sections based on syllabus recommended by CBSE based on class 11 maths.
• There are 7 video lectures having explanations from basic to advance concepts, each and every NCERT solutions, questions and all important examples. You can access them directly from the lecture menu or just scroll down the page.
• All lecture were uploaded on YouTube so for better learning experience here you will find link to YouTube Playlist of Chapter 11 Conic Sections.
• Also, there are detailed highlights of each video lecture with exact timestamp links so that you can easily access all topics and questions directly.
• Just click on the timestamp link and you will be redirected to video watch page at exactly that time.

PDFs OF LECTURES

11(A) || Exercise 11.1

00:00:05 How to study Conic Sections in Class 11

00:05:31 Introduction to Circle, Parabola, Ellipse and Hyperbola

00:07:31 Animation to understand why they are called conic sections

00:09:51 How to derive equation of circle

00:13:51 NCERT Solutions Exercise 11.1 Question 1

00:16:41 NCERT Solutions Exercise 11.1 Question 2

00:18:31 NCERT Solutions Exercise 11.1 Question 3

00:21:41 NCERT Solutions Exercise 11.1 Question 4

00:22:52 NCERT Solutions Exercise 11.1 Question 5

00:25:32 NCERT Solutions Exercise 11.1 Question 6

00:26:52 NCERT Solutions Exercise 11.1 Question 7

00:31:02 NCERT Solutions Exercise 11.1 Question 8

00:33:22 NCERT Solutions Exercise 11.1 Question 9

00:36:02 NCERT Solutions Exercise 11.1 Question 15 Does the point (–2.5, 3.5) lie inside, outside or on the circle x^2+ y^2 = 25?

00:42:42 NCERT Solutions Exercise 11.1 Question 14 Find the equation of a circle with centre (2,2) and passes through the point (4,5).

00:45:42 NCERT Solutions Exercise 11.1 Question 12 Find the equation of the circle with radius 5 whose centre lies on x-axis and passes through the point (2,3).

00:51:42 NCERT Solutions Exercise 11.1 Question 13 Find the equation of the circle passing through (0,0) and making intercepts a and b on the coordinate axes.

00:59:42 NCERT Solutions Exercise 11.1 Question 10 Find the equation of the circle passing through the points (4,1) and (6,5) and whose centre is on the line 4x + y = 16.

01:08:32 NCERT Solutions Exercise 11.1 Question 11 Find the equation of the circle passing through the points (2,3) and (–1,1) and whose centre is on the line x – 3y – 11 = 0.

11(B) || Exercise 11.2 & Miscellaneous

00:00:10 Real life examples of parabola

00:04:32 Standard forms of Parabola

00:06:32 Definition and geometric proof for parabola

00:13:32 Derivation for equation of parabola

00:24:42 Way to remember all rules of parabolas

00:35:02 Derivation for length of latus rectum of parabola

00:40:02 NCERT Solutions Exercise 11.2 Q1, Q2, Q3, Q4, Q5, Q6 In each of the following Exercises 1 to 6, find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum.

00:48:46 NCERT Solutions Exercise 11.2 Q7, Q8, Q9, Q10 In each of the Exercises 7 to 12, find the equation of the parabola that satisfies the given conditions:

00:52:21 NCERT Solutions Exercise 11.2 QUESTION 11 Vertex (0,0) passing through (2,3) and axis is along x-axis.

00:55:01 NCERT Solutions Exercise 11.2 Question 12 Vertex (0,0), passing through (5,2) and symmetric with respect to y-axis.

00:57:21 Chapter 11 Miscellaneous Exercise Question 1 If a parabolic reflector is 20 cm in diameter and 5 cm deep, find the focus.

01:04:31 Chapter 11 Miscellaneous Exercise Question 2 An arch is in the form of a parabola with its axis vertical. The arch is 10 m high and 5 m wide at the base. How wide is it 2 m from the vertex of the parabola?

01:13:41 Chapter 11 Miscellaneous Exercise Question 3 The cable of a uniformly loaded suspension bridge hangs in the form of a parabola. The roadway which is horizontal and 100 m long is supported by vertical wires attached to the cable, the longest wire being 30 m and the shortest being 6 m. Find the length of a supporting wire attached to the roadway 18 m from the middle.

11(C) || Basics of Ellipse

00:00:00 What is an ellipse with animation

00:01:12 Real life examples of ellipse

00:03:22 Major axis and minor axis

00:08:30 Derivations for relationship between a, b and c of ellipse

00:13:52 Derivation for equation of ellipse

00:35:12 Derivation for latus rectum of ellipse

00:39:52 Eccentricity of ellipse

11(D) || Exercise 11.3

00:00:22 Explanation of all basic details of standard ellipse, method to remember their rules NCERT Solutions Exercise 11.3 In each of the Exercises 1 to 9, find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse.

00:09:42 Question 1

00:14:12 Question 2

00:16:22 Question 3

00:18:12 Question 4

00:20:12 Question 5

00:21:52 Question 6

00:23:32 Question 7

00:30:52 Question 8

00:32:52 Question 9 In each of the following Exercises 10 to 20, find the equation for the ellipse that satisfies the given conditions:

00:36:22 Question 10

00:37:12 Question 11

00:38:02 Question 12

00:38:42 Question 13

00:40:02 Question 14

00:40:42 Question 15

00:41:42 Question 16

00:42:32 Question 17

00:43:12 Question 18

00:44:52 Question 19

00:51:12 Question 20

11(E) || Basics of Hyperbolas

00:00:05 Meaning and definition of Hyperbola

00:04:24 Difference between circle, parabola, ellipse and hyperbola

00:06:14 Geometrical Verification of definition of hyperbola

00:10:00 Real life examples of Hyperbolas

00:11:51 Transverse axis and conjugate axis of Hyperbola

00:13:51 Introduction to a, b and c of hyperbolas

00:24:11 Derivation for equation of standard hyperbola

11(F) || Exercise 11.4

00:01:00 Explanation and method to remember all rules of standard hyperbolas NCERT SOLUTIONS EXERCISE 11.4

00:16:01 Question 1

00:19:01 Question 2

00:20:51 Question 3

00:22:51 Question 4

00:24:51 Question 5

00:30:51 Question 6

00:34:01 Question 7

00:35:11 Question 8

00:36:11 Question 9

00:37:01 Question 10

00:38:11 Question 11

00:39:11 Question 12

00:43:01 Question 13

00:45:01 Question 14

00:49:11 Question 15

11(G) || Miscellaneous Exercise

NCERT Miscellaneous Exercise Chapter 11

00:01:12 Question 4 An arch is in the form of a semi-ellipse. It is 8 m wide and 2 m high at the centre. Find the height of the arch at a point 1.5 m from one end.

00:12:02 Question 6 Find the area of the triangle formed by the lines joining the vertex of the parabola x^2=12y to the ends of its latus rectum.

00:16:22 Question 7 A man running a racecourse notes that the sum of the distances from the two flag posts from him is always 10 m and the distance between the flag posts is 8 m. Find the equation of the posts traced by the man.

00:22:32 Question 8 An equilateral triangle is inscribed in the parabola y^2=4ax, where one vertex is at the vertex of the parabola. Find the length of the side of the triangle.

00:33:02 Question 5 A rod of length 12 cm moves with its ends always touching the coordinate axes. Determine the equation of the locus of a point P on the rod, which is 3 cm from the end in contact with the x-axis.