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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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प्रश्न

Choose the correct alternative:

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

पर्याय

  • 3

  • – 1

  • 1

  • 9

MCQ
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उत्तर

9

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Two Dimensional Analytical Geometry-II - Exercise 5.6 [पृष्ठ २१६]

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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 12 | पृष्ठ २१६

संबंधित प्रश्‍न

Find the equation of the parabola whose focus is the point F(-1, -2) and the directrix is the line 4x – 3y + 2 = 0.


The parabola y2 = kx passes through the point (4, -2). Find its latus rectum and focus.


Find the axis, vertex, focus, equation of directrix and the length of latus rectum of the parabola (y - 2)2 = 4(x - 1)


The focus of the parabola x2 = 16y is:


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:

Vertex (1, – 2) and Focus (4, – 2)


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:

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 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


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"`


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

`(x + 1)^2/100 + (y - 2)^2/64` = 1


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

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


Which statement best describes a focal chord in any conic section?


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