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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

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प्रश्न

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

पर्याय

  • `4/3`

  • `4/sqrt(3)`

  • `2/sqrt(3)`

  • `3/2`

MCQ

उत्तर

`2/sqrt(3)`

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Two Dimensional Analytical Geometry-II - Exercise 5.6 [पृष्ठ २१५]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
पाठ 5 Two Dimensional Analytical Geometry-II
Exercise 5.6 | Q 2 | पृष्ठ २१५

संबंधित प्रश्‍न

Find the vertex, focus, axis, directrix, and the length of the latus rectum of the parabola y2 – 8y – 8x + 24 = 0.


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

x2 = 8y


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


The focus of the parabola x2 = 16y is:


The double ordinate passing through the focus is:


The distance between directrix and focus of a parabola y2 = 4ax is:


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 parabola in the cases given below:

Vertex (1, – 2) and Focus (4, – 2)


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

Length of latus rectum 8, eccentricity = `3/5` centre (0, 0) and major axis on x-axis


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 = – 8x


Identify the type of conic and find centre, foci, vertices, and directrices of the following:

`x^2/3 + y^2/10` = 1


Identify the type of conic and find centre, foci, vertices, and directrices of the following:

`x^2/25 - y^2/144` = 1


Identify the type of conic and find centre, foci, vertices, and directrices of the following:

`y^2/16 - x^2/9` = 1


Prove that the length of the latus rectum of the hyperbola `x^2/"a"^2 - y^2/"b"^2` = 1 is `(2"b"^2)/"a"`


Show that the absolute value of difference of the focal distances of any point P on the hyperbola is the length of its transverse axis


Identify the type of conic and find centre, foci, vertices, and directrices of the following:

`(y - 2)^3/25 + (x + 1)^2/16` = 1


Identify the type of conic and find centre, foci, vertices, and directrices of the following:

9x2 – y2 – 36x – 6y + 18 = 0


Choose the correct alternative:

If P(x, y) be any point on 16x2 + 25y2 = 400 with foci F(3, 0) then PF1 + PF2 is


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