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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

विकल्प

  • 43

  • 43

  • 23

  • 32

MCQ

उत्तर

23

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Two Dimensional Analytical Geometry-II - Exercise 5.6 [पृष्ठ २१५]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
अध्याय 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 average variable cost of the monthly output of x tonnes of a firm producing a valuable metal is ₹ 15x2 – 6x + 100. Show that the average variable cost curve is a parabola. Also, find the output and the average cost at the vertex of the parabola.


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


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


The equation of directrix of the parabola y2 = -x 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:

End points of latus rectum (4, – 8) and (4, 8)


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

Foci (±3,0),e+12


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:

Passing through (5, – 2) and length of the transverse axis along x-axis and of length 8 units


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:

y2 = – 8x


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

x2 – 2x + 8y + 17 = 0


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

x225-y2144 = 1


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

(x-3)2225+(y-4)2289 = 1


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

18x2 + 12y2 – 144x + 48y + 120 = 0


Choose the correct alternative:

If x + y = k is a normal to the parabola y2 = 12x, then the value of k is 14


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