Home
Class 11
MATHS
The point (0,4) and (0,2) are the vertex...

The point `(0,4)` and `(0,2)` are the vertex and focus of a parabola. Find the equation of the parabola.

Text Solution

Verified by Experts

The correct Answer is:
`x^(2)-8y-32`
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    ICSE|Exercise EXERCISE 23|26 Videos
  • MOVING AVERAGE

    ICSE|Exercise CHAPTER TEST|5 Videos
  • PERMUTATIONS AND COMBINATIONS

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS |32 Videos

Similar Questions

Explore conceptually related problems

If the points (0,4)a n d(0,2) are respectively the vertex and focus of a parabola, then find the equation of the parabola.

If the points (0,4)a n d(0,2) are respectively the vertex and focus of a parabola, then find the equation of the parabola.

If (0, 3) and (0, 2) are respectively the vertex and focus of a parabola, then its equation, is

A parabola is drawn with focus at (3,4) and vertex at the focus of the parabola y^2-12x-4y+4=0 . The equation of the parabola is

A parabola is drawn with focus at (3,4) and vertex at the focus of the parabola y^2-12x-4y+4=0 . The equation of the parabola is

If (3, 6) is vertex and (4, 5) is focus of parabola then equation of directrix is

The vertex and focus of parabola (y-2)^(2) = -4(x-4) are

Find the coordinate of' the vertex and focus and the equations of the directrix of the parabola x^(2) = -4 y .

The equation of the diirectrix of the parabola is 3x+2y+1-0 . The focus is (2,1) . Find the equation of the parabola.

Find the vertex, focus and directrix of the parabola (4y^2+12x-20y+67) =0.