WB JEE 2010 | Ellipse and Hyperbola Question 5 | Mathematics

WB JEE 2010

MCQ (Single Correct Answer)

-0.25

S and T are the foci of an ellipse and B is an end point of the minor axis. If STB is an equilateral triangle, the eccentricity of the ellipse is

$${1 \over 4}$$

$${1 \over 3}$$

$${1 \over 2}$$

$${2 \over 3}$$

WB JEE 2010

MCQ (Single Correct Answer)

-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 hyperbola with eccentricity 2

an ellipse with eccentricity $$\sqrt {{2 \over 3}} $$

a hyperbola with eccentricity $$\sqrt {{{19} \over {16}}} $$

$${3 \over 4}$$

WB JEE 2011

MCQ (Single Correct Answer)

-0.25

The eccentricity of the hyperbola $$4{x^2} - 9{y^2} = 36$$ is

$${{\sqrt {11} } \over 3}$$

$${{\sqrt {15} } \over 3}$$

$${{\sqrt {13} } \over 3}$$

$${{\sqrt {14} } \over 3}$$

WB JEE 2011

MCQ (Single Correct Answer)

-0.25

The length of the latus rectum of the ellipse is 16x² + 25y² = 400 is

5/16 units

32/5 units

16/5 units

5/32 units

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