MathematicsMedium249×since 2002Q2405An angle between the plane, x + y + z = 5 and the line of intersection of the planes, 3x + 4y + z −-− 1 = 0 and 5x + 8y + 2z + 14 =0, is :Asin−1(\raise0.5ex3/\lower0.25ex17){\sin ^{ - 1}}\left( {\sqrt {{\raise0.5ex\hbox{$\scriptstyle 3$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle {17}$}}} } \right)sin−1(\raise0.5ex3/\lower0.25ex17)Bcos−1(\raise0.5ex3/\lower0.25ex17){\cos ^{ - 1}}\left( {\sqrt {{\raise0.5ex\hbox{$\scriptstyle 3$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle {17}$}}} } \right)cos−1(\raise0.5ex3/\lower0.25ex17)Ccos−1(\raise0.5ex3/\lower0.25ex17){\cos ^{ - 1}}\left( {{\raise0.5ex\hbox{$\scriptstyle 3$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle {17}$}}} \right)cos−1(\raise0.5ex3/\lower0.25ex17)Dsin−1(\raise0.5ex3/\lower0.25ex17){\sin ^{ - 1}}\left( {{\raise0.5ex\hbox{$\scriptstyle 3$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle {17}$}}} \right)sin−1(\raise0.5ex3/\lower0.25ex17)Check answerSkip