NCERT Solutions for Class 11 Maths Chapter 11 Conic Sections
In the previous Chapter, we have studied different forms of the equations of a line. In this Chapter, we will study some other curves like circles, parabolas, hyperbolas and ellipses. The names hyperbola and parabola are given by Apollonius. There is a total of 62 questions are given in 4 exercises and 8 questions in a miscellaneous exercise. The NCERT Solutions for Class 11 Maths Chapter 11 Conic Sections are solved and prepared by our maths experts. This is an important chapter for maths students because every year many questions are asked from this topic in CBSE class 11 final exam as well as in the various competitive exams. These NCERT solutions are explained in detail and these solutions help students in the preparation of their class 11 exams and also in competitive exams like JEE Mains, VITEEE, BITSAT etc.
In NCERT Class 11 Maths Chapter 11 Conic Sections, students will get to know about four curves which are circle, parabola, ellipse, and hyperbola. These curves are known as conic sections because these curves are the results of intersections of a plane with the doublenapped right circular cone. The applications of these curves are in fields like the design of antennas and telescopes, planetary motion, reflectors in automobile headlights, etc. The NCERT Class 11 Maths Chapter 11 Conic Sections contain four exercises, the first exercise is on the circle, second on the parabola, third on the ellipse and the fourth on the hyperbola.
Circle It is the set of all points in the plane that are equidistant(or the same distance) from a fixed point in the plane. The fixed point is the centre of the circle and the distance from the centre to a point on the circle is the radius of the circle. The equation of a circle with centre (h, k) and the radius r is
Parabola It is the set of all points in the plane that are equidistant(or the same distance) from a fixed line and a fixed point (not on the line) in the plane. The fixed point F is the focus of the parabola and the fixed line is called the directrix of the parabola. If the coordinates of focus(F) is (a, 0) a > 0 and directrix x = – a, then the equation of the parabola is
Ellipse It is formed by a point, which moves in a plane in such a manner that the sum of its distances from two fixed points in a plane is constant. The two fixed points in the plane are called the foci of the ellipse. If the foci of the ellipse are on the xaxis, then the equation of an ellipse is
Hyperbola It is the locus of a point in a plane, which moves in such a manner so that the difference of whose distances from two fixed points in the plane is constant. The two fixed points in the hyperbola are called the foci of the hyperbola. If the foci of the hyperbola are on the xaxis, then the equation of a hyperbola is
11.1 Introduction
11.2 Sections of a Cone
11.3 Circle
11.4 Parabola
11.5 Ellipse
11.6 Hyperbola
NCERT Solutions for Class 11 Maths Chapter 11 Conic Sections  Exercise 11.1
NCERT Solutions for Class 11 Maths Chapter 11 Conic Sections  Exercise 11.2
NCERT Solutions for Class 11 Maths Chapter 11 Conic Sections  Exercise 11.3
NCERT Solutions for Class 11 Maths Chapter 11 Conic Sections  Miscellaneous
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Chapter2 

Chapter3 

Chapter4 

Chapter5 

Chapter6 

Chapter7 

Chapter8 

Chapter9 

Chapter10 

Chapter12 

Chapter13 

Chapter14 

Chapter15 

Chapter16 
8. An equilateral triangle is inscribed in the parabola , where one vertex is at the vertex of the parabola. Find the length of the side of the triangle.
7. Find the centre and radius of the circles.
1. If a parabolic reflector is 20 cm in diameter and 5 cm deep, find the focus.