1
WB JEE 2008
+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 2008
+1
-0.25

The equation of the ellipse having vertices at ($$\pm$$ 5, 0) and foci ($$\pm$$ 4, 0) is

A
$${{{x^2}} \over {25}} + {{{y^2}} \over {16}} = 1$$
B
$$9{x^2} + 25{y^2} = 225$$
C
$${{{x^2}} \over 9} + {{{y^2}} \over {25}} = 1$$
D
$$4{x^2} + 5{y^2} = 20$$
3
WB JEE 2008
+1
-0.25

The latus rectum of an ellipse is equal to one-half of its minor axis. The eccentricity of the ellipse is

A
$${1 \over {\sqrt 6 }}$$
B
$${{\sqrt 3 } \over 2}$$
C
$${{\sqrt 3 } \over 4}$$
D
$${1 \over 2}$$
4
WB JEE 2009
+1
-0.25

The coordinates of the focus of the parabola described parametrically by x = 5t2 + 2, y = 10t + 4 are

A
(7, 4)
B
(3, 4)
C
(3, $$-$$4)
D
($$-$$7, 4)
WB JEE Subjects
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Coordinate Geometry
Calculus
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