NCERT Solutions for Class 11 Maths Chapter 11 Conic Sections Ex 11.3 are part of NCERT Solutions for Class 11 Maths. Here we have given NCERT Solutions for Class 11 Maths Chapter 11 Conic Sections Ex 11.3.

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 11 |

Subject |
Maths |

Chapter |
Chapter 11 |

Chapter Name |
Conic Sections |

Exercise |
Ex 11.3 |

Number of Questions Solved |
20 |

Category |
NCERT Solutions |

## NCERT Solutions for Class 11 Maths Chapter 11 Conic Sections Ex 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.**

**Question 1.**

**Solution:**

Given equation of ellipse of

Clearly, 36 > 16

The equation of ellipse in standard form is

**Question 2.**

**Solution:**

Given equation of ellipse is

Clearly, 25 > 4

The equation of ellipse in standard form is

**Question 3.**

**Solution:**

Given equation of ellipse is

Clearly, 16 > 9

The equation of ellipse in standard form is

**Question 4.**

**Solution:**

Given equation of ellipse is

Clearly, 100 > 25

The equation of ellipse in standard form is

**Question 5.**

**Solution:**

Given equation of ellipse is

Clearly, 49 > 36

The equation of ellipse in standard form is

**Question 6.**

**Solution:**

Given equation of ellipse is

Clearly, 400 > 100

The equation of ellipse in standard form is

**Question 7.**

36x^{2} + 4y^{2} = 144

**Solution:**

Given equation of ellipse is 36x^{2} + 4y^{2} = 144

**Question 8.**

16x^{2} + y^{2} = 16

**Solution:**

Given equation of ellipse is16x^{2} + y^{2} = 16

**Question 9.**

4x^{2} + 9y^{2} = 36

**Solution:**

Given equation of ellipse is4x^{2} + 9y^{2} = 36

**In each 0f the following Exercises 10 to 20, find the equation for the ellipse that satisfies the given conditions:**

**Question 10.**

Vertices (±5, 0), foci (±4,0)

**Solution:**

Clearly, The foci (±4, o) lie on x-axis.

∴ The equation of ellipse is standard form is

**Question 11.**

Vertices (0, ±13), foci (0, ±5)

**Solution:**

Clearly, The foci (0, ±5) lie on y-axis.

∴ The equation of ellipse is standard form is

**Question 12.**

Vertices (±6, 0), foci (±4,0)

**Solution:**

Clearly, The foci (±4, 0) lie on x-axis.

∴ The equation of ellipse is standard form is

**Question 13.**

Ends of major axis (±3, 0), ends of minor axis (0, ±2)

**Solution:**

Since, ends of major axis (±3, 0) lie on x-axis.

∴ The equation of ellipse in standard form

**Question 14.**

Ends of major axis (0, ), ends of minor axis (±1, 0)

**Solution:**

Since, ends of major axis (0, ) lie on i-axis.

∴ The equation of ellipse in standard form

**Question 15.**

Length of major axis 26, foci (±5, 0)

**Solution:**

Since the foci (±5, 0) lie on x-axis.

∴ The equation of ellipse in standard form

**Question 16.**

Length of major axis 16, foci (0, ±6)

**Solution:**

Since the foci (0, ±6) lie on y-axis.

∴ The equation of ellipse in standard form

**Question 17.**

Foci (±3, 0) a = 4

**Solution:**

since the foci (±3, 0) on x-axis.

∴ The equation of ellipse in standard form

**Question 18.**

b = 3, c = 4, centre at the origin; foci on the x axis.

**Solution:**

Since the foci lie on x-axis.

∴ The equation of ellipse in standard form is

**Question 19.**

Centre at (0, 0), major axis on the y-axis and passes through the points (3, 2) and (1, 6)

**Solution:**

Since the major axis is along y-axis.

∴ The equation of ellipse in standard form

**Question 20.**

Major axis on the x-axis and passes through the points (4, 3) and (6, 2).

**Solution:**

Since the major axis is along the x-axis.

∴ The equation of ellipse in standard form is

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