Find the latus rectum of the parabola `y^2+4x+2y=11`

Find the latus rectum of the parabola (y-3)^2=6(x-2)

The point of intersection of the tangents at the ends of the latus rectum of the parabola y^2=4x is_____________

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

Prove that the lines joining the ends of latus rectum of the parabola y^(2) = 4ax with the point of intersection of its axis and directrix are at right angles.

Find the coordinates of the focus , axis, the question of the directrix and latus rectum of the parabola y^(2)=8x .

Find the length of the latus rectum of the parabola y =- 2x^(2) + 12 x - 17 .

The coordinates of one of the end-points of the latus rectum of the parabola (y - 1)^(2) = 2(x + 2 ) are _

If a + bne 0 , find the coordinates of focus and the length of latus rectum of the parabola y^(2) = 2 mx which passes through the point of intersection of the straight lines (x)/(a)+(y)/(b)=1 and (x)/(b)+(y)/(a)=1 .

In each of the find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas. 9y^(2)-4x^(2)=36

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.