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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 - Mathematics

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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

विकल्प

  • 3

  • – 1

  • 1

  • 9

MCQ

उत्तर

9

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Conics
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Two Dimensional Analytical Geometry-II - Exercise 5.6 [पृष्ठ २१६]

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 12 | पृष्ठ २१६

संबंधित प्रश्न

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


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

x2 = - 16y


The average variable cost of the monthly output of x tonnes of a firm producing a valuable metal is ₹ `1/5`x2 – 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.


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 eccentricity of the parabola is:


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 (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 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:

y2 = – 8x


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

`x^2/25 + y^2/9` = 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:

`(x + 3)^2/225 + (y - 4)^2/64` = 1


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