Find the coordinates of points on the parabola `y^2=8x` whose focal distance is `4.`

Find the coordinates of a point the parabola y^(2)=8x whose distance from the focus is 10.

The coordinates of a point on the parabola y^2=8x whose distance from the circle x^2+(y+6)^2=1 is minimum is (2,4) (b) (2,-4) (18 ,-12) (d) (8,8)

The coordinates of a point on the parabola y^2=8x whose distance from the circle x^2+(y+6)^2=1 is minimum is (a) (2,4) (b) (2,-4) (c) (18 ,-12) (d) (8,8)

Find the coordinates of any point on the parabola whose focus is (0, 1) and directrix is x+2=0

Find the points on the parabola y^2-2y-4x=0 whose focal length is 6.

(i) Find the points of intersection of the parabola y ^(2) = 8x and the line y = 2x . (ii) Find, using integration, the area enclosed between the line and the parabola.

Find the coordinates of a point on x+y+3=0, whose distance from x+2y+2=0 is sqrt(5)dot

If focal distance of a point P on the parabola y^(2)=4ax whose abscissa is 5 10, then find the value of a.

In each of the following find the coordinates of the focus , axis of the parabola , the equation of the directrix and the length of the latus rectum. y^(2)=-8x

Find the point on the parabola y^(2) = 2x that is closest to the point (1, 4)