Find the points on the curve `5x^2-8x y+5y^2=4` whose distance from the origin is maximum or minimum.

Find the points on the curve ax^(2)+2bxy+ay^(2)=c, 0ltaltbltc, whose distance from the origin is minimum.

Find a point on the curve x^2 + 2y^2 = 6 , whose distance from the line x +y =7 , is minimum.

Find the point on the curve y^2=2x which is at a minimum distance from the point (1,\ 4) .

The point on the parabola y^(2)=8x whose distance from the focus is 8 has x coordinate as

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

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

Find the maximum distance of any point on the curve x^2+2y^2+2x y=1 from the origin.

The coordinate of the point on the curve x^(2)=4y which is atleast distance from the line y=x-4 is

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)

Find the point on the y-axis whose distances from the points (3, 2) and (-1, 1.5) are in the ratio 2:1.