1
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

The eccentricity of the hyperbola $$4{x^2} - 9{y^2} = 36$$ is

A
$${{\sqrt {11} } \over 3}$$
B
$${{\sqrt {15} } \over 3}$$
C
$${{\sqrt {13} } \over 3}$$
D
$${{\sqrt {14} } \over 3}$$
2
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
3
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
4
WB JEE 2023
MCQ (Single Correct Answer)
+1
-0.25
Change Language

If a hyperbola passes through the point P($$\sqrt2$$, $$\sqrt3$$) and has foci at ($$\pm$$ 2, 0), then the tangent to this hyperbola at P is

A
$$y = x\sqrt 6 - \sqrt 3 $$
B
$$y = x\sqrt 3 - \sqrt 6 $$
C
$$y = x\sqrt 6 + \sqrt 3 $$
D
$$y = x\sqrt 3 + \sqrt 6 $$
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