(m)3y^(2)-2sqrt(6y)+2=0

sqrt (2x) -sqrt (3y) = 0sqrt (3x) -sqrt (3y) = 0

The equation of a circle of radius 1 touching the circles x^2 + y^2 - 2 |x| = 0 is: (A) x^2 + y^2 + 2sqrt(3x) - 2 = 0 (B) x^2 + y^2 - 2sqrt(3)y+2=0 (C) x^2 + y^2 + 2sqrt(3) y + 2 = 0 (D) x^2 + y^2 + 2 sqrt(3) x + 2 = 0

The director circle of a hyperbola is x^(2) + y^(2) - 4y =0 . One end of the major axis is (2,0) then a focus is (a) (sqrt(3),2-sqrt(3)) (b) (-sqrt(3),2+sqrt(3)) (c) (sqrt(6),2-sqrt(6)) (d) (-sqrt(6),2+sqrt(6))

The equation of the incircle of equilateral triangle ABC where B-=(2,0),C-=(4,0) and A lies in the fourth quadrant is x^(2)+y^(2)-6x+(2y)/(sqrt(3))+9=0x^(2)+y^(2)-6x-(2y)/(sqrt(3))+9=0x^(2)+y^(2)+6x+(2y)/(sqrt(3))+9=0 none of these

2x ^ (2) + 2sqrt (6) xy + 3y ^ (2)

The equation of the tangent at the point (0, 3) on the circle which cuts the circles x^(2)+y^(2)-2x+6y=0 , x^(2)+y^(2)-4x-2y+6=0 and x^(2)+y^(2)-12x+2y+3=0 orthogonally is

sqrt7y^(2)-6y-13sqrt7=0 :