If the normals of the parabola `y^(2)=4x` drawn at the end points of its latus rectum are tangents to the circle `(x-3)^(2)+(y+2)^(2)=r^(2)`, then the value of `r^(2)` is -

If the normals of the parabola y^2=4x drawn at the end points of its latus rectum are tangents to the circle (x-3)^2+(y+2)^2=r^2 is

Find the equations of normal to the parabola y^2=4a x at the ends of the latus rectum.

If the normals to the parabola y^2=4a x at the ends of the latus rectum meet the parabola at Qa n dQ^(prime), then Q Q ' is

The area of the triangle formed by the tangent and the normal to the parabola y^2=4a x , both drawn at the same end of the latus rectum, and the axis of the parabola is (a) 2sqrt(2)a^2 (b) 2a^2 4a^2 (d) none of these

If the length of the latus rectum rectum of the parabola 169{(x-1)^(2)+(y-3)^(2)}=(5x-12y+17)^(2) is L then the value of 13L/4 is _________.

Equation of a common tangent to the circle x^(2)+y^(2)-6x=0 and the parabola y^(2)=4x is

The slope of the normal to the parabola 3y^(2)+4y+2=x at a point it is 8. find the coordinates of the points.

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

The area (in square unit ) bounded by the parabola y^(2) = 8x and its latus rectum is -

The length of latus rectum of the parabola (y-1)^(2) =- 6( x+2) is_