Trigonometric EquationHard

Question

A particle has two velocities of equal magnitude inclined to each other at an angle θ.
If one of them is halved, the angle between the other and the original resultant velocity is bisected by the new resultant. Then θ is

Options

A.90o
B.120o
C.45o
D.60o

Solution

       
tan
⇒    
∴    
∴     = 30o or θ = 120o

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