Home
Class 11
MATHS
A circle is drawn to pass through the ex...

A circle is drawn to pass through the extremities of the latus rectum of the parabola `y^2=8xdot` It is given that this circle also touches the directrix of the parabola. Find the radius of this circle.

Promotional Banner

Similar Questions

Explore conceptually related problems

A circle is drawn to pass through the extremities of the latus rectum of the parabola y^2=20 x . It is given that this circle also touches the directrix of the parabola, Find the radius of this circle.

The latus rectum of the parabola y^2 = 11x is of length

Find the length of the Latus rectum of the parabola y^(2)=4ax .

The latus rectum of the parabola y^(2)-4x+4y+8=0 is:

The equation of the directrix of the parabola y^(2)=-8x is

The length of the latus rectum of the parabola x^2 - 4x - 8y + 12 = 0 is

Consider a circle with its centre lying on the focus of the parabola, y^2=2px such that it touches the directrix of the parabola. Then a point of intersection of the circle & the parabola is:

Find the area of the parabola y^2=4ax and its latus rectum.

Find the point where the line x+y=6 is a normal to the parabola y^2=8xdot