Home
Class 11
MATHS
For the following parabola find the coor...

For the following parabola find the coordinates of the focus, the equation of the directrix and the length of the latus rectum. `y^2=12x`

Text Solution

Verified by Experts

Given equation : `y^(2)=12x`
Comparing with `y^(2)=4ax`
4a=12
`rArr" "a=3`
`:.` Coordinates of focus `-=(a,0)-=(3,0)`
Axis of parabola : y=0
Equation of directrix : x+a=0
`rArr" "x+3=0`
Length of latus rectum `=4a=4xx3=12`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CONIC SECTION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 11.3|20 Videos

  • CONIC SECTION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 11.4|15 Videos

  • CONIC SECTION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 11.1|15 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|20 Videos

  • INTRODUCTION OF THREE DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|6 Videos

Similar Questions

Explore conceptually related problems

For the following parabola find the coordinates of the foci, the equation of the directrix and the lengths of the latus rectum: y^2=8x

For each of that parabolas, find the coordinates of the focus, the equation of the directrix and the length of latus rectum : y^2=-12x

For each of that parabolas, find the coordinates of the focus, the equation of the directrix and the length of latus rectum : y^2 = 10x

For each of that parabolas, find the coordinates of the focus, the equation of the directrix and the length of latus rectum : y^2 = -8x

For each of that parabolas, find the coordinates of the focus, the equation of the directrix and the length of latus rectum : x^2 = 6y

For each of that parabolas, find the coordinates of the focus, the equation of the directrix and the length of latus rectum : x^2 = -9y

Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum. y^2=-8x

Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum. y^2=10 x

Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum. x^2=6y

Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum. x^2=-16 y

Home
Profile