MathematicsMedium66×since 2002Q4096If cos−1(23x)+cos−1(34x)=π2{\cos ^{ - 1}}\left( {{2 \over {3x}}} \right) + {\cos ^{ - 1}}\left( {{3 \over {4x}}} \right) = {\pi \over 2}cos−1(3x2)+cos−1(4x3)=2π (x > 343 \over 443), then x is equal to :A14510{{\sqrt {145} } \over {10}}10145B14511{{\sqrt {145} } \over {11}}11145C14512{{\sqrt {145} } \over {12}}12145D14612{{\sqrt {146} } \over {12}}12146Check answerSkip