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Q.
If the length of transverse common tangent of the circles $x^{2}+y^{2}=1$ and $(x-h)^{2}+y^{2}=1$ is $2 \sqrt{3}$, then the value(s) of $h$ will be
Conic Sections
Solution:
Since radius of both the circles is same, coordinates where it cuts the line joining their centers is $(h / 2,0)$
$C_{1} O^{2}+O P^{2}=C_{1} P^{2}$
or $1+3=h^{2} / 4$
or $h^{2}=16$
or $h=\pm 4$
