# ML Aggarwal Conic Sections ISC Class-11 Maths Understanding

ML Aggarwal **Conic Sections** ISC Class-11 Maths Understanding Solutions Chapter-1. Step by step Solutions of ML Aggarwal ISC Class-11 Mathematics with Exe-1, Exe-2, Exe-3, Exe-4, Exe-5, Exe-6, Exe-7, Exe-8, Exe-9 and Chapter Test Questions. Visit official Website CISCE for detail information about ISC Board Class-11 Mathematics.

## ML Aggarwal **Conic Sections** ISC Class-11 Maths Understanding Solutions Chapter-1

Class: | 11th |

Subject: | Mathematics |

Chapter : | Ch-1 Conic Sections Section -B of Vol-II |

Board | ISC |

Writer | ML Aggarwal |

Publications | APC Arya Publications 2020-21 |

-: Select Topics :-

### ML Aggarwal **Conic Sections** ISC Class-11 Maths Understanding Solutions Chapter-1

**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} = r^{2}.

The general equation of the circle passing through origin is x^{2} + y^{2} + 2gx + 2fy = 0.

The parametric equation of the circle x^{2} + y^{2} = r^{2} 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} = r^{2} 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 :**

A parabola is the set of points P whose distances from a fixed point F in the plane are equal to their distance from a fixed line l in the plane. The fixed point F is called focus and the fixed line l is the directrix of the parabola.

**Ellipse :**

An ellipse is the set of all points in a plane such that the sum of whose distances from two fixed points is constant.

or

An ellipse is the set of all points in the plane whose distances from a fixed point in the plane bears a constant ratio, less than to their distance from a fixed point in the plane. The fixed point is called focus, the fixed line a directrix and the constant ratio(e) the eccentricity of the ellipse. We have two standard forms of ellipse

**Hyperbola**

A hyperbola is the locus of a point in a plane which moves in such a way that the ratio of its distance from a fixed point in the same plane to its distance from a fixed line is always constant which is always greater than unity. The fixed point is called the focus, the fixed line is called the directrix and the constant ratio, generally denoted bye, is known as the eccentricity of the hyperbola.

**Exe-1.1**

### ML Aggarwal **Conic Sections** ISC Class-11 Maths Understanding Solutions Chapter-1

**Exe-1.2**

### ML Aggarwal **Conic Sections** ISC Class-11 Maths Understanding Solutions Chapter-1

**Exe-1.3**

ML Aggarwal **Conic Sections** Class-11 Maths Understanding Solutions Chapter-1

**Exe-1.4**

### ML Aggarwal **Conic Sections** ISC Class-11 Maths Understanding Solutions Chapter-1

**Exe-1.5**

**Conic Sections** ISC Class-11 Maths Understanding Solutions Chapter-1

**Exe-1.6**

### ML Aggarwal **Conic Sections** ISC Class-11 Maths Understanding Solutions Chapter-1

**Exe-1.7**

ML Aggarwal **Conic Sections** Class-11 Maths Understanding Solutions Chapter-1

**Exe-1.8**

### **Conic Sections** ISC Class-11 Maths Understanding Solutions Chapter-1

**Exe-1.9**

**Conic Sections** ISC Class-11 Maths Understanding Solutions Chapter-1

**Chapter Test**

### ML Aggarwal **Conic Sections** ISC Class-11 Maths Understanding Solutions Chapter-1

**-: End of ****Conic Sections ****ISC Class-11 ML Aggarwal Maths Understanding Chapter-1 Solution :-**

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