# I can kill this question in 30 Seconds, can uou?

Geometry Level pending

A circle $$S=0$$ passes through the point of intersection of two circles: $\displaystyle{{ S }_{ 1 }:\quad { x }^{ 2 }+{ y }^{ 2 }-3x+4y+5=0\\ { S }_{ 2 }:\quad { x }^{ 2 }+{ y }^{ 2 }-4x+3y+5=0}$

Circle $$S=0$$ also cuts the circle $${ S }_{ 3 }:\quad { x }^{ 2 }+{ y }^{ 2 }=4$$ orthogonally.

Compute the value of length of tangent from origin to the circle $$S=0$$ ?

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