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

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Here, Below you all know about NCERT Solutions for Class 11 Maths Chapter 11 Conic Sections Ex 11.3 Question Answer. I know many of you confuse about finding Chapter 11 Conic Sections Ex 11.3 Of Class 11 NCERT Solutions. So, Read the full post below and get your solutions.

TextbookNCERT
BoardCBSE
CategoryNCERT Solutions
ClassClass 11
SubjectMaths
ChapterChapter 11
ExerciseClass 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

Table of Contents

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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.
36x2 + 4y2 = 144

Solution:

Given equation of ellipse is 36x2 + 4y2 = 144

Ex 11.3 Class 11 Maths Question 8.
16x2 + y2 = 16

Solution:

Given equation of ellipse is16x2 + y2 = 16

Ex 11.3 Class 11 Maths Question 9.
4x2 + 9y2 = 36

Solution:

Given equation of ellipse is4x2 + 9y2 = 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 (±5, 0), foci (±4,0)

Solution:

Clearly, The foci (±4, o) lie on x-axis.
∴ The equation of ellipse is standard form is

Ex 11.3 Class 11 Maths 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

Ex 11.3 Class 11 Maths 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

Ex 11.3 Class 11 Maths 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

Ex 11.3 Class 11 Maths Question 14.
Ends of major axis (0, ±√5), ends of minor axis (±1, 0)

Solution:

Since, ends of major axis (0, ±√5) lie on i-axis.
∴ The equation of ellipse in standard form

Ex 11.3 Class 11 Maths 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

Ex 11.3 Class 11 Maths 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

Ex 11.3 Class 11 Maths Question 17.
Foci (±3, 0) a = 4

Solution:

since the foci (±3, 0) on x-axis.
∴ 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.
∴ 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.
∴ 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.
∴ 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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