Home
Class 12
MATHS
A parabola passes through the points (0....

A parabola passes through the points (0.0) ,(2,2) and (-2,-6) and its asix ia parallel to y-axis . Find its equation .

Text Solution

Verified by Experts

The correct Answer is:
`x^(2) -4 x + 2y = 0 `
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the equation of the parabola passing through the points (3,0), (-3,0) , (2,5) and having its axis parallel to the y - axis find the coordinates of its vertex .

Find the equation of the plane passing through the points (3,1,1), (1-2,3) and parallel to y-axis.

A circle passes through the points (-3, 4), (1, 0) and its centre lies on the x-axis. Find the equation of the circle.

The axis of a parabola is parallel to x -axis and it passes through the points (2,0) ,(1,-1) and (6, -2) , find its equation .

A circle passes through the point (-2, 1) and touches the straight line 3x - 2y = 6 at the point (4, 3) . Find its equation.

A parabola passes through the point the point (1,2), (2,1), (3,4) and (4,3). Find the equation of the axis of parabola.

The parabola y^2=4ax passes through the point (2,-6). Find the length of the latus rectum.

The axis of a parabola is parallel to x axis. If the the parabola passes through the point (2, 0), (1, -1) and (6, -2), then find the equation of the parabola.

A circle touches x-axis at (2, 0) and has an intercept of 4 unit on y-axis. Find its equation.

If a hyperbola passing through the origin has 3x-4y-1=0 and 4x-3y-6=0 as its asymptotes, then find the equation of its transvers and conjugate axes.