If the center of the circle `x^2+y^2+ax+by+2=0` point (4,-8), then a+b=

Find the locus of the centers of the circles x^2+y^2-2ax-2b y+2=0 , where a and b are parameters, if the tangents from the origin to each of the circles are orthogonal.

Find the locus of the centers of the circles x^2+y^2-2ax-2b y+2=0 , where a and b are parameters, if the tangents from the origin to each of the circles are orthogonal.

Find the locus of the centers of the circles x^2+y^2-2ax-2b y+2=0 , where a and b are parameters, if the tangents from the origin to each of the circles are orthogonal.

The center of circle x^2+y^2-6x+4y-12=0 is (a,b) then (2a + 3b) is

The coordinates of the centre of the circle 2x^(2)+2y^(2) + ax + by + c= 0 are (3, - 4), find a and b.

If the circumference of the circle x^(2) + y^(2) + 8x + 8y - b = 0 is bisected by the circle x^(2) + y^(2) - 2x + 4y + a = 0 , then a + b =

The locus of the mid-points of the chords of the circle x^2+ y^2-2x-4y - 11=0 which subtends an angle of 60^@ at center is

If the circumference of the circle x^2+y^2+8x+8y-b=0 is bisected by the circle x^2+y^2=4 and the line 2x+y=1 and having minimum possible radius is

The locus of the midpoints of the chords of the circle x^(2)+y^(2)-ax-by=0 which subtend a right angle at ((a)/(2),(b)/(2)) is ax+by=0ax+by=a^(2)=b^(2)x^(2)+y^(2)-ax-by+(a^(2)+b^(2))/(8)=0x^(2)+y^(2)-ax-by-(a^(2)+b^(2))/(8)=0

Find the center and radius of the circle x^2+y^2+8x+10y-8=0 .