Trigonometry
Inverse Trigonometric Functions
MCQ (Single Correct Answer)Subjective
1
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25

AB is a variable chord of the ellipse $${{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1$$. If AB subtends a right angle at the origin O, then $${1 \over {O{A^2}}} + {1 \over {O{B^2}}}$$ equals to

A
$${1 \over {{a^2}}} + {1 \over {{b^2}}}$$
B
$${1 \over {{a^2}}} - {1 \over {{b^2}}}$$
C
$${a^2} + {b^2}$$
D
$${a^2} - {b^2}$$
2
WB JEE 2021
MCQ (Single Correct Answer)
+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)
3
WB JEE 2021
MCQ (Single Correct Answer)
+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)
4
WB JEE 2020
MCQ (Single Correct Answer)
+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
WB JEE Subjects