Home
Class 11
MATHS
L O L ' and M O M ' are two chords of pa...

`L O L '` and `M O M '` are two chords of parabola `y^2=4a x` with vertex `A` passing through a point `O` on its axis. Prove that the radical axis of the circles described on `L L '` and `M M '` as diameters passes though the vertex of the parabola.

Promotional Banner

Similar Questions

Explore conceptually related problems

AB and CD are the chords of the parabola which intersect at a point E on the axis.The radical axis of the two circles described on ABand CD as diameter always passes through

Prove that the locus of the middle points of all chords of the parabola y^(2)=4ax passing through the vertex is the parabola y^(2)=2ax

Show that all chords of a parabola which subtend a right angle at the vertex pass through a fixed point on the axis of the curve.

The length of the chord of the parabola y^(2) = 12x passing through the vertex and making an angle of 60^(@) with the axis of x is

Length of the chord of the parabola y^(2)=4ax passing through the vertex and making an angle theta (0< theta < pi ) with the axis of the parabola

IF (a,b) is the mid point of chord passing through the vertex of the parabola y^2=4x , then

Write the length of het chord of the parabola y^(2)=4ax which passes through the vertex and in inclined to the axis at (pi)/(4)

Let L be a normal to the parabola y^(2)=4x. If L passes through the point (9,6) then L is given by