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The co-ordinate of a point on the auxiliary circle of the ellipse x2+2y2=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)

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Ans: (B)
Hint: x24+y22=1
Equation of auxiliary circle is x2+y2=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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