1
WB JEE 2008
MCQ (Single Correct Answer)
+1
-0.25

If t is a parameter, then $$x = a\left( {t + {1 \over t}} \right)$$, $$y = b\left( {t - {1 \over t}} \right)$$ represents

A
An ellipse
B
A circle
C
A pair of straight lines
D
A hyperbola
2
WB JEE 2010
MCQ (Single Correct Answer)
+1
-0.25

If the line ax + by + c = 0 is a tangent to the curve xy = 4, then

A
a < 0, b > 0
B
a $$\le$$ 0, b > 0
C
a < 0, b < 0
D
a $$\le$$ 0, b < 0
3
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
$${3 \over 4}$$
4
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
$${{\sqrt {14} } \over 3}$$
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