WB JEE 2008 | Parabola Question 5 | Mathematics

WB JEE 2008

MCQ (Single Correct Answer)

-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

$$\sqrt {{2 \over 3}} $$

$$\sqrt {{2 \over 5}} $$

$$\sqrt {{1 \over 3}} $$

$$\sqrt {{1 \over 2}} $$

WB JEE 2008

MCQ (Single Correct Answer)

-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

An ellipse

A circle

A pair of straight lines

A hyperbola

WB JEE 2008

MCQ (Single Correct Answer)

-0.25

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

$${{{x^2}} \over {25}} + {{{y^2}} \over {16}} = 1$$

$$9{x^2} + 25{y^2} = 225$$

$${{{x^2}} \over 9} + {{{y^2}} \over {25}} = 1$$

$$4{x^2} + 5{y^2} = 20$$

WB JEE 2008

MCQ (Single Correct Answer)

-0.25

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

$${1 \over {\sqrt 6 }}$$

$${{\sqrt 3 } \over 2}$$

$${{\sqrt 3 } \over 4}$$

$${1 \over 2}$$

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