Trigonometric EquationHard
Question
If the angle θ between the line 
and the plane 2x - y + √λ z + 4 = 0 is such that sin θ = 
the value of λ is
and the plane 2x - y + √λ z + 4 = 0 is such that sin θ = the value of λ is Options
A.
B.
C.
D.
Solution
Angle between line and normal to plane is
cos
where θ is angle between line & plane
⇒ sin θ =
⇒
cos
where θ is angle between line & plane⇒ sin θ =
⇒
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