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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

विकल्प

  • 3

  • – 1

  • 1

  • 9

MCQ
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उत्तर

9

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 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
अध्याय 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.


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

y2 = 20x


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

x2 = - 16y


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


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:

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:

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


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


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 - 3)^2/225 + (y - 4)^2/289` = 1


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

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


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

9x2 – y2 – 36x – 6y + 18 = 0


The latus-rectum of a conic section is:


The fixed straight line used in the definition of a conic section is called the:


A chord passing through any point on the conic and perpendicular to the axis is called:


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