Home
Class 11
MATHS
Find the equation of the parabola with v...

Find the equation of the parabola with vertex at `(0,0)` and focus at `(0,2)`.

Text Solution

Verified by Experts

The correct Answer is:
`x^(2)=4(2)y,i.e.,x^(2)=8y.`
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    NCERT BANGLISH|Exercise Exercise 11.1|15 Videos
  • CONIC SECTIONS

    NCERT BANGLISH|Exercise Exercise 11.2|12 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISES ON CHAPTER 24|1 Videos
  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISE|6 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the parabola whose vertex is (-2,2) and focus is (-6,-6).

Find the equation of the parabola whose vertex is (-1, 3) and focus is (3, -1) .

Find the equation of parabola (i) having its vertex at A(1,0) and focus at S(3,0) (ii) having its focus at S(2,5) and one of the extremities of latus rectum is A (4,5)

Find the equation of the parabola whose vertex is (0,0) and directrix is the line x + 3 = 0 .

Find the eqution of the parabola whose coordinates of vertex and focus are (0 , 0) and ((3)/(2),0) respectively .

Find the equation of the parabola whose coordinates of vertex and focus are (-2,3) and (1, 3) respectively .

Find the equation of the parabola with focus (2,0) and directrix x=-2 .

Find the equation of the parabola whose vertex is (2,3) and the equation of latus rectum is x = 4 . Find the coordinates of the point of intersection of this parabola with its latus rectum .

Find the equation of the parabola with focus f(4,0) and directrix x=−4 .

Find the equation of the parabola whose coordinates of vertex are (-2,3) and the equation of the directrix is 2x+3y + 8 = 0