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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