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The co-ordinate of a point on the auxiliary circle of the ellipse
x
2
+
2
y
2
=
4
corresponding to the point on the ellipse whose eccentric angle is
60
∘
will be
0
votes
asked
Dec 9, 2021
in
Sets, relations and functions
by
kritika
(
90.1k
points)
edited
Dec 26, 2021
by
kritika
The co-ordinate of a point on the auxiliary circle of the ellipse
x
2
+
2
y
2
=
4
corresponding to the point on the ellipse whose eccentric angle is
60
∘
will be
(A)
(
√
3
,
1
)
(B)
(
1
,
√
3
)
(C)
(
1
,
1
)
(D)
(
1
,
2
)
Your answer
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3
Answers
0
votes
answered
Dec 26, 2021
by
kritika
(
90.1k
points)
Ans: (B)
Hint:
x
2
4
+
y
2
2
=
1
Equation of auxiliary circle is
x
2
+
y
2
=
4
∴
Point on the auxiliary circle is
p\left(2 \cos 60^{\circ}, 2 \sin 60^{\circ}\right)
p(1, \sqrt{3})
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