The point on the curve `4x^2+a^2y^2=4a^2` ; `4lta^2lt8` that is farthest from the point (0,-2) is

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

Find the points on the circle x^2+y^2-2x+4y-20=0 which are the farthest and nearest to the point (-5,6)dot

Find the co-ordinate of the point on the circle x^2+y^2-12x-4y +30=0 , which is farthest from the origin.

The point on the curve x^2=2y which is nearest to the point (0, 5) is(A) (2sqrt(2),4) (B) (2sqrt(2),0) (C) (0, 0) (D) (2, 2)

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

Find a point on the curve y=(x-2)^2 at which the tangent is parallel to the chord joining the points (2, 0) and (4, 4).

Distance of point P on the curve y=x^(3//2) which is nearest to the point M (4, 0) from origin is

Find the point on the curve 3x^2-4y^2=72 which is nearest to the line 3x+2y+1=0.

Find the point on the curve y = (x - 2)^(2) at which the tangent is parallel to the chord joining the points (2,0) and (4,4).

Find the points on the curve 4x^2+9y^2=1 , where the tangents are perpendicular to the line 2y+x=0