WB JEE 2011 | Ellipse and Hyperbola Question 7 | Mathematics

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

WB JEE 2011

MCQ (Single Correct Answer)

-0.25

The equation 8x² + 12y² $$-$$ 4x + 4y $$-$$ 1 = 0 represents

an ellipse

a hyperbola

a parabola

a circle

WB JEE 2023

MCQ (Single Correct Answer)

-0.25

If a hyperbola passes through the point P($$\sqrt2$$, $$\sqrt3$$) and has foci at ($$\pm$$ 2, 0), then the tangent to this hyperbola at P is

$$y = x\sqrt 6 - \sqrt 3 $$

$$y = x\sqrt 3 - \sqrt 6 $$

$$y = x\sqrt 6 + \sqrt 3 $$

$$y = x\sqrt 3 + \sqrt 6 $$

WB JEE Subjects