WB JEE 2019 | Hyperbola Question 18 | Mathematics

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WB JEE 2019

MCQ (Single Correct Answer)

-0.25

The equation of the directrices of the hyperbola $$3{x^2} - 3{y^2} - 18x + 12y + 2 = 0$$ is

$$x = 3 \pm \sqrt {{{13} \over 6}} $$

$$x = 3 \pm \sqrt {{{6} \over 13}} $$

$$x = 6 \pm \sqrt {{{13} \over 3}} $$

$$x = 6 \pm \sqrt {{{3} \over 13}} $$

WB JEE 2019

MCQ (Single Correct Answer)

-0.5

The length of conjugate axis of a hyperbola is greater than the length of transverse axis. Then, the eccentricity e is

$$ = \sqrt 2 $$

$$ > \sqrt 2 $$

$$ < \sqrt 2 $$

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

WB JEE 2019

MCQ (Single Correct Answer)

-0.5

A point is in motion along a hyperbola $$y = {{10} \over x}$$ so that its abscissa x increases uniformly at a rate of 1 unit per second. Then, the rate of change of its ordinate when the point passes through (5, 2)

increases at the rate of $${1 \over 2}$$ unit per second

decreases at the rate of $${1 \over 2}$$ unit per second

decreases at the rate of $${2 \over 5}$$ unit per second

increases at the rate of $${2 \over 5}$$ unit per second

WB JEE 2018

MCQ (Single Correct Answer)

-0.25

Let the eccentricity of the hyperbola $${{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1$$ be reciprocal to that of the ellipse x² + 9y² = 9, then the ratio of a² : b² equals to

8 : 1

1 : 8

9 : 1

1 : 9

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