MathematicsMedium53×since 2002Q3216Let a circle C in complex plane pass through the points z1=3+4i{z_1} = 3 + 4iz1=3+4i, z2=4+3i{z_2} = 4 + 3iz2=4+3i and z3=5i{z_3} = 5iz3=5i. If z(≠z1)z( \ne {z_1})z(=z1) is a point on C such that the line through z and z₁ is perpendicular to the line through z₂ and z₃, then arg(z)arg(z)arg(z) is equal to :Atan−1(25)−π{\tan ^{ - 1}}\left( {{2 \over {\sqrt 5 }}} \right) - \pitan−1(52)−πBtan−1(247)−π{\tan ^{ - 1}}\left( {{{24} \over 7}} \right) - \pitan−1(724)−πCtan−1(3)−π{\tan ^{ - 1}}\left( 3 \right) - \pitan−1(3)−πDtan−1(34)−π{\tan ^{ - 1}}\left( {{3 \over 4}} \right) - \pitan−1(43)−πCheck answerSkip