CUET and UG exam CUET UG 2025 Mock Test Series Mathematics Three Dimensional Geometry Angle with Planes
Find the angle between the two planes given by the equations 3x + 4y – 5z = 5 and 2x + 5y + 4z = 12.
1
\(\theta = {\cos ^{ - 1}}\left( {\frac{{15}}{{\sqrt {10} }}} \right)\)
2
\(\theta = {\cos ^{ - 1}}\left( {\frac{{25}}{{\sqrt {10} }}} \right)\)
3
\(\theta = {\cos ^{ - 1}}\left( {\frac{{\sqrt {10} }}{{25}}} \right)\)
4
\(\theta = {\cos ^{ - 1}}\left( {\frac{{\sqrt {10} }}{{15}}} \right)\)