English
Tamil Nadu Board of Secondary EducationHSC Science Class 12

Find the equation of the parabola in the cases given below: End points of latus rectum (4, – 8) and (4, 8)

Advertisements
Advertisements

Question

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

End points of latus rectum (4, – 8) and (4, 8)

Sum
Advertisements

Solution


Focus = (4, 0)

Equation of the parabola will be of the form y2 = 4ax

Here a = 4

⇒ y2 = 16x

shaalaa.com
  Is there an error in this question or solution?
Chapter 5: Two Dimensional Analytical Geometry-II - Exercise 5.2 [Page 196]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 5 Two Dimensional Analytical Geometry-II
Exercise 5.2 | Q 1. (iv) | Page 196

RELATED QUESTIONS

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 focus of the parabola x2 = 16y is:


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 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 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^2/144` = 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:

18x2 + 12y2 – 144x + 48y + 120 = 0


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


The latus-rectum of a conic section is:


If the eccentricity e > 1, the conic section is:


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×