1
WB JEE 2008
+1
-0.25

The length of the common chord of the parabolas y2 = x and x2 = y is

A
$$2\sqrt 2$$
B
1
C
$$\sqrt 2$$
D
$${1 \over {\sqrt 2 }}$$
2
WB JEE 2008
+1
-0.25

If 2y = x and 3y + 4x = 0 are the equations of a pair of conjugate diameters of an ellipse, then the eccentricity of the ellipse is

A
$$\sqrt {{2 \over 3}}$$
B
$$\sqrt {{2 \over 5}}$$
C
$$\sqrt {{1 \over 3}}$$
D
$$\sqrt {{1 \over 2}}$$
3
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
4
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
$$4{x^2} + 5{y^2} = 20$$
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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