\( \mathrm{AA}^{\prime} \) and \( \mathrm{BB}^{\prime} \) are two direct common tangents to two ... VIDEO
\( \mathrm{AA}^{\prime} \) and \( \mathrm{BB}^{\prime} \) are two direct common tangents to two circles intersecting in the points \( \mathrm{P} \) and \( \mathrm{Q} \). The common chord when produced intersect \( \mathrm{AA}^{\prime} \) at \( \mathrm{M} \) - and \( \mathrm{BB}^{\prime} \) at \( \mathrm{N} \), then \( \mathrm{AA}^{12}+\mathrm{PQ}^{2} \) is equal to
a. \( \mathrm{MN}^{2} \)
b. \( \mathrm{NP}^{2} \)
c. \( \mathrm{MQ}^{2} \)
d. \( \mathrm{NQ}^{2} \)
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