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.
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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