Teaching AWES Army Public School TGT Mock Test 2024 Mathematics Three Dimensional Geometry Angle with Planes
Acute angle between the line \(\rm \dfrac{x-5}{2} = \dfrac{y+1}{-1} = \dfrac{z+4}{1}\) and the plane \(\rm 3x-4y-z+5=0\) is
1
\(\cos^{-1} \left(\dfrac{9}{\sqrt{364}}\right)\)
2
\(\rm \theta = sin^{-1}(\dfrac{9}{2\sqrt{39}})\)
3
\(\cos^{-1} \left(\dfrac{5}{2\sqrt{13}}\right)\)
4
\(\sin^{-1} \left(\dfrac{5}{2\sqrt{13}}\right)\)