The line 2x=y intersects the circle C1:x2+y2=5 at P in the 1st quadrant. C2 and C3 are circles, both with radii equal to 2√5 with respective centers Q2 and Q3 lying on the y-axis. If the tangent to C1 at P touches the circles C2 and C3 then the distance Q2Q3 is

The line 2x=y intersects the circle C1:x2+y2=5 at P in the 1st quadran

1.	The line 2x=y intersects the circle C1:x2+y2=5 at P in the 1st quadrant. C2 and C3 are circles, both with radii equal to 2√5 with respective centers Q2 and Q3 lying on the y-axis. If the tangent to C1 at P touches the circles C2 and C3 then the distance Q2Q3 is
Answer» The line $2 x = y$ intersects the circle $C_{1} : x^{2} + y^{2} = 5$ at P in the 1st quadrant. $C_{2}$ and $C_{3}$ are circles, both with radii equal to $2 \sqrt{5}$ with respective centers $Q_{2}$ and $Q_{3}$ lying on the y-axis. If the tangent to $C_{1}$ at $P$ touches the circles $C_{2}$ and $C_{3}$ then the distance $Q_{2} Q_{3}$ is