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Three points A, B, C are located in a st...

Three points A, B, C are located in a straight line `AB=a` and `AC=b`.Two particles start from points B and C and move with uniform velocities `v_(1)` and `v_(2)`respectively such that angle between `vec(v_(1))` and line ABC and `vec(v_(2))` and ABC is `theta`. If point A and both the particles are always in a straight line then the relation between `a, b, V_(1), V_(2)` is `aV_(2)= kb V_(1)`. The value of 'k' is

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