AP EAMCET20226 Jul 2022Morning ShiftMathematicsThree Dimensional GeometryActual
If a , b , c are the direction ratios of a line L and , m, n are its direction cosines, then a^2 b^2+c^2 =
Options
- A1- ^2 ^2
- B^2 1+ ^2
- C^2 ^2+m^2
- D^2 1- ^2
Correct answer
C. ^2 ^2+m^2
Step-by-step solution
Let a = 1 k , b = m k and c = n k aligned & a ^2 ~b ^2+ c ^2 = l ^2 ~m ^2+ n ^2 & = l ^2 1- p ^2 [ 1^2+ m ^2+ n ^2=1 ] aligned