Trigonometric EquationHard

Question

The resultant R of two forces acting on a particle is at right angles to one of them and its magnitude is one third of the other force. The ratio of larger force to smaller one is

Options

A.2 : 1
B.3 : √2
C.3 : 2
D.3 : 2√2

Solution

       
F′ = 3F cos θ
F = 3F sin θ
⇒   F′ = 2√2 F
F : F′ : : 3 : 2√2.

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