Choose the correct alternative: The eccentricity of the hyperbola whose latus rectum is 8 and conjugate axis is equal to half the distance between the foci is - Mathematics

Choose the correct alternative:

The eccentricity of the hyperbola whose latus rectum is 8 and conjugate axis is equal to half the distance between the foci is

MCQ

$\frac{2}{\sqrt{3}}$

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Chapter 5: Two Dimensional Analytical Geometry-II - Exercise 5.6 [Page 215]

Chapter 5 Two Dimensional Analytical Geometry-II
Exercise 5.6 | Q 2 | Page 215

Find the co-ordinates of the focus, vertex, equation of the directrix, axis and the length of latus rectum of the parabola

y² = 20x

The profit ₹ y accumulated in thousand in x months is given by y = -x² + 10x – 15. Find the best time to end the project.

Find the equation of the parabola which is symmetrical about x-axis and passing through (–2, –3).

The focus of the parabola x² = 16y is:

Find the equation of the parabola in the cases given below:

Focus (4, 0) and directrix x = – 4

Find the equation of the parabola in the cases given below:

Passes through (2, – 3) and symmetric about y-axis

Find the equation of the ellipse in the cases given below:

Foci (0, ±4) and end points of major axis are (0, ±5)

Find the equation of the hyperbola in the cases given below:

Centre (2, 1), one of the foci (8, 1) and corresponding directrix x = 4

Find the vertex, focus, equation of directrix and length of the latus rectum of the following:

y² = 16x

Find the vertex, focus, equation of directrix and length of the latus rectum of the following:

x² = 24y

Find the vertex, focus, equation of directrix and length of the latus rectum of the following:

x² – 2x + 8y + 17 = 0

Find the vertex, focus, equation of directrix and length of the latus rectum of the following:

y² – 4y – 8x + 12 = 0