# NCERT Solutions For Class 11 Maths Chapter 11 Conic Sections Ex 11.3

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Textbook | NCERT |

Board | CBSE |

Category | NCERT Solutions |

Class | Class 11 |

Subject | Maths |

Chapter | Chapter 11 |

Exercise | Class 11 Maths Chapter 11 Conic Sections Exercise 11.3 |

Number of Questions Solved |

## NCERT Solutions for Class 11 Maths Chapter 11 Conic Sections Ex 11.3

**NCERT TEXTBOOK EXERCISES**

**Ex 11.3 Class 11 Maths Question 1.**

$\frac { { x }^{ 2 } }{ 36 } +\frac { { y }^{ 2 } }{ 16 } =1$

**Solution:**

Given equation of ellipse of $\frac { { x }^{ 2 } }{ 36 } +\frac { { y }^{ 2 } }{ 16 } =1$

Clearly, 36 > 16

The equation of ellipse in standard form is

**Ex 11.3 Class 11 Maths Question 2.**

$\frac { { x }^{ 2 } }{ 4 } +\frac { { y }^{ 2 } }{ 25 } =1$

**Solution:**

Given equation of ellipse is $\frac { { x }^{ 2 } }{ 4 } +\frac { { y }^{ 2 } }{ 25 } =1$

Clearly, 25 > 4

The equation of ellipse in standard form is

**Ex 11.3 Class 11 Maths Question 3.**

$\frac { { x }^{ 2 } }{ 16 } +\frac { { y }^{ 2 } }{ 9 } =1$

**Solution:**

Given equation of ellipse is $\frac { { x }^{ 2 } }{ 16 } +\frac { { y }^{ 2 } }{ 9 } =1$

Clearly, 16 > 9

The equation of ellipse in standard form is

**Ex 11.3 Class 11 Maths Question 4.**

$\frac { { x }^{ 2 } }{ 25 } +\frac { { y }^{ 2 } }{ 100 } =1$

**Solution:**

Given equation of ellipse is $\frac { { x }^{ 2 } }{ 25 } +\frac { { y }^{ 2 } }{ 100 } =1$

Clearly, 100 > 25

The equation of ellipse in standard form is

**Ex 11.3 Class 11 Maths Question 5.**

$\frac { { x }^{ 2 } }{ 49 } +\frac { { y }^{ 2 } }{ 36 } =1$

**Solution:**

Given equation of ellipse is $\frac { { x }^{ 2 } }{ 49 } +\frac { { y }^{ 2 } }{ 36 } =1$

Clearly, 49 > 36

The equation of ellipse in standard form is

**Ex 11.3 Class 11 Maths Question 6.**

$\frac { { x }^{ 2 } }{ 16 } +\frac { { y }^{ 2 } }{ 9 } =1$

**Solution:**

Given equation of ellipse is $\frac { { x }^{ 2 } }{ 16 } +\frac { { y }^{ 2 } }{ 9 } =1$

Clearly, 400 > 100

The equation of ellipse in standard form is

**Ex 11.3 Class 11 Maths Question 7.**

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

**Solution:**

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

**Ex 11.3 Class 11 Maths Question 8.**

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

**Solution:**

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

**Ex 11.3 Class 11 Maths 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:**

**Ex 11.3 Class 11 Maths Question 10.**

Vertices (Â±5, 0), foci (Â±4,0)

**Solution:**

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

âˆ´ The equation of ellipse is standard form is

**Ex 11.3 Class 11 Maths Question 11.**

Vertices (0, Â±13), foci (0, Â±5)

**Solution:**

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

âˆ´ The equation of ellipse is standard form is

**Ex 11.3 Class 11 Maths Question 12.**

Vertices (Â±6, 0), foci (Â±4,0)

**Solution:**

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

âˆ´ The equation of ellipse is standard form is

**Ex 11.3 Class 11 Maths Question 13.**

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

**Solution:**

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

âˆ´ The equation of ellipse in standard form

**Ex 11.3 Class 11 Maths Question 14.**

Ends of major axis (0, Â±âˆš5), ends of minor axis (Â±1, 0)

**Solution:**

Since, ends of major axis (0, Â±âˆš5) lie on i-axis.

âˆ´ The equation of ellipse in standard form

**Ex 11.3 Class 11 Maths Question 15.**

Length of major axis 26, foci (Â±5, 0)

**Solution:**

Since the foci (Â±5, 0) lie on x-axis.

âˆ´ The equation of ellipse in standard form

**Ex 11.3 Class 11 Maths Question 16.**

Length of major axis 16, foci (0, Â±6)

**Solution:**

Since the foci (0, Â±6) lie on y-axis.

âˆ´ The equation of ellipse in standard form

**Ex 11.3 Class 11 Maths Question 17.**

Foci (Â±3, 0) a = 4

**Solution:**

since the foci (Â±3, 0) on x-axis.

âˆ´ The equation of ellipse in standard form

**Ex 11.3 Class 11 Maths Question 18.**

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

**Solution:**

Since the foci lie on x-axis.

âˆ´ The equation of ellipse in standard form is

**Ex 11.3 Class 11 Maths 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.

âˆ´ The equation of ellipse in standard form

**Ex 11.3 Class 11 Maths 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.

âˆ´ The equation of ellipse in standard form is

## NCERT Solutions for Class 11 Maths Chapter 11 Conic Sections Exercise 11.3 PDF

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