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


Find the vertex, focus, axis, directrix, and the length of the latus rectum of the parabola y2 – 8y – 8x + 24 = 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


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 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


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:

`y^2/16 - x^2/9` = 1


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

`(x + 1)^2/100 + (y - 2)^2/64` = 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


Choose the correct alternative:

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


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


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×