Trigonometry
Inverse Trigonometric Functions
MCQ (Single Correct Answer)Subjective
1
WB JEE 2009
MCQ (Single Correct Answer)
+1
-0.25

The angle between the line joining the foci of an ellipse to one particular extremity of the minor axis is 90$$^\circ$$. The eccentricity of the ellipse is

A
$${1 \over 8}$$
B
$${1 \over {\sqrt 3 }}$$
C
$$\sqrt {{2 \over 3}} $$
D
$$\sqrt {{1 \over 2}} $$
2
WB JEE 2010
MCQ (Single Correct Answer)
+1
-0.25

S and T are the foci of an ellipse and B is an end point of the minor axis. If STB is an equilateral triangle, the eccentricity of the ellipse is

A
$${1 \over 4}$$
B
$${1 \over 3}$$
C
$${1 \over 2}$$
D
$${2 \over 3}$$
3
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

The length of the latus rectum of the ellipse is 16x2 + 25y2 = 400 is

A
5/16 units
B
32/5 units
C
16/5 units
D
5/32 units
4
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

The equation 8x2 + 12y2 $$-$$ 4x + 4y $$-$$ 1 = 0 represents

A
an ellipse
B
a hyperbola
C
a parabola
D
a circle
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