1
WB JEE 2010
MCQ (Single Correct Answer)
+1
-0.25

For different values of $$\alpha$$, the locus of the point of intersection of the two straight lines $$\sqrt 3 x - y - 4\sqrt 3 \alpha = 0$$ and $$\sqrt 3 \alpha x + \alpha y - 4\sqrt 3 = 0$$ is

A
a hyperbola with eccentricity 2
B
an ellipse with eccentricity $$\sqrt {{2 \over 3}} $$
C
a hyperbola with eccentricity $$\sqrt {{{19} \over {16}}} $$
D
$${3 \over 4}$$
2
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
$${{\sqrt {14} } \over 3}$$
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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