Home
Class 12
MATHS
If the vertex and focus of a parabola ar...

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

A

(a) `x^2-6x+24y-63=0`

B

(b) `x^2-6x+24y-81=0`

C

(c) `y^2-6y+24x-63=0`

D

(d) `y^2-6y-24x+81=0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If the focus of a parabola is (0,-3) and its directrix is y = 3, then its equation is ……..

If the orthocentre and centroid of a triangle are (-3, 5) and (3, 3) then its circumcentre is

The axis of parabola is along the line y=x and the distance of its vertex and focus from origin are sqrt2 and 2 sqrt2 respectively. If vertex and focus both lie in the first quadrant, then the equation of the parabola is :

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

The mass and volume of a solid steel cuboid is 156 g and 20 cm^3 respectively, then its density would be .....gcm ""^3.

If the vertex of the parabola is the point (-3, 0) and the directrix is the line x + 5 = 0, then its equation is ……

Three vertices of a parallelogram are a(6,2), L(3,9) and P(-1,4) . If the fourth vertex is X, find its coordinates. if (1) AL is a diagonal, (2) LP is a diagonal, (3) AP is a diagonal .

Two parabola have the same focus. If their directrices are the x-axis and the y-axis respectively, then the slope of their common chord is :

Prove that the length of a focal chord of a parabola varies inversely as the square of its distance from the vertex.

Prove that the equation of the parabola whose vertex and focus are on the X-axis at a distance a and a'from the origin respectively is y^2=4(a'-a)(x-a)