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 of intersection of the circle x^2+y^2-3x-4y+2=0 with the x-axis.

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

Find the locus of the midpoint of the chords of the circle x^2+y^2=a^2 which subtend a right angle at the point (0,0)dot

Find the image of the circle x^2+y^2-2x+4y-4=0 in the line 2x-3y+5=0

. Let A be the centre of the circle x^2+y^2-2x-4y-20=0 Suppose that the tangents at the points B(1,7) and D(4,-2) on the circle meet at the point C. Find the area of the quadrilateral ABCD

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

The point on the curve x^(2) = 2y which is nearest to the point (0, 5) is

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