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 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 points on the unit circle x^(2)+y^(2)=1 nearest and farthest from (1,1)

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

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).

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

At what points on the curve x^(2)+y^(2) - 2x -4y+1=0 the tangent is parallel to Y-axis.

The tangent to the curve y=x^2-5x+5. parallel to the line 2y=4x+1, also passes through the point :

Find the equation of the normal to the curve x^(2) = 4y which passes through the point (1, 2).