1
WB JEE 2021
+1
-0.25
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$$^\circ$$ will be
A
$$(\sqrt 3 ,1)$$
B
$$(1,\sqrt 3 )$$
C
(1, 1)
D
(1, 2)
2
WB JEE 2021
+2
-0.5
The points of intersection of two ellipses $${x^2} + 2{y^2} - 6x - 12y + 20 = 0$$ and $$2{x^2} + {y^2} - 10x - 6y + 15 = 0$$ lie on a circle. The centre of the circle is
A
(8, 3)
B
(8, 1)
C
$$\left( {{8 \over 3},3} \right)$$
D
(3, 8)
3
WB JEE 2020
+1
-0.25
If B and B' are the ends of minor axis and S and S' are the foci of the ellipse $${{{x^2}} \over {25}} + {{{y^2}} \over 9} = 1$$, then the area of the rhombus SBS' B' will be
A
12 sq units
B
48 sq units
C
24 sq units
D
36 sq units
4
WB JEE 2020
+2
-0.5
Consider the curve $${{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1$$. The portion of the tangent at any point of the curve intercepted between the point of contact and the directrix subtends at the corresponding focus an angle of
A
$${\pi \over 4}$$
B
$${\pi \over 3}$$
C
$${\pi \over 2}$$
D
$${\pi \over 6}$$
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