Math, asked by prabhpreetsingh85200, 21 days ago

- An ellipse is drawn by taking a diameter of the circle (x - 1)2 + y2 = 1 x as its semi-minor-axis and a diameter of the circle x2 + (y - 2)2 = 4 is semi- major-axis. If the centre of the ellipse is at the origin and its axes are the coordinate axes, then the equation of the ellipse is​

Answers

Answered by sherlockholmes777afk
0

An ellipse is drawn by taking a diameter of the circle (x−1)

2

+y

2

=1 as its semi-minor axis and a diameter of the circle x

2

+(y−2)

2

=4 is semi-major axis.If the centre of the ellipse is at the origin and its axes are the coordinate axes, then the equation of the ellipse is

Medium

Solution

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Verified by Toppr

Correct option is D)

(x−1)

2

+y

2

=1

Radius =1

Diameter=2

b=2

x

2

+(y−2)

2

=4

Radius=

4

=2

Diameter=4

a=4

a

2

x

2

+

b

2

y

2

=1 is the equation of ellipse

4

2

x

2

+

2

2

y

2

=1

16

x

2

+

4

y

2

=1

x

2

+4y

2

=16.

Answered by sitadhiman1958
0

Answer:

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