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Choose the correct alternative: If P(x, y) be any point on 16x2 + 25y2 = 400 with foci F(3, 0) then PF1 + PF2 is

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प्रश्न

Choose the correct alternative:

If P(x, y) be any point on 16x2 + 25y2 = 400 with foci F(3, 0) then PF1 + PF2 is

पर्याय

  • 8

  • 6

  • 10

  • 12

MCQ
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उत्तर

10

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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 8 | पृष्ठ २१६

संबंधित प्रश्‍न

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.


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


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 eccentricity of the parabola 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 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:

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:

y2 = 16x


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

x2 = 24y


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"`


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


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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