C1 and C2 are circles of unit radius with centres at (0,0) and (1,0) respectively. C3 is a circle of radius r (r∈N). It passes through the centres of the circles C1 and C2 and has its center above the x−axis. If the common tangent of C1 and C3 is √3x−y+c=0. Then maximum value of c+r=

C1 and C2 are circles of unit radius with centres at (0,0) and (1,0) r

1.	C1 and C2 are circles of unit radius with centres at (0,0) and (1,0) respectively. C3 is a circle of radius r (r∈N). It passes through the centres of the circles C1 and C2 and has its center above the x−axis. If the common tangent of C1 and C3 is √3x−y+c=0. Then maximum value of c+r=
Answer» $C_{1} and C_{2}$ are circles of unit radius with centres at $(0, 0) and (1, 0)$ respectively. $C_{3}$ is a circle of radius $r (r \in N)$ . It passes through the centres of the circles $C_{1} and C_{2}$ and has its center above the $x -$ axis. If the common tangent of $C_{1} and C_{3}$ is $\sqrt{3} x - y + c = 0$ . Then maximum value of $c + r =$