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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

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


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:

Foci `(+- 3, 0), "e"+ 1/2`


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 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 ellipse in the cases given below:

Length of latus rectum 4, distance between foci `4sqrt(2)`, centre (0, 0) and major axis as y-axis


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

Foci (± 2, 0), Eccentricity = `3/2`


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:

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


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:

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


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


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