The sum of all possible values of , for which the system of equations : has a non-trivial solution, is equal to:

The sum of all possible values of , for which the system of ... — JEE PYQs | Mockzy

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The sum of all possible values of

θ \in [0, 2 π]

, for which the system of equations :

x cos 3 θ - 8 y - 12 z = 0

x cos 2 θ + 3 y + 3 z = 0

x + y + 3 z = 0

has a non-trivial solution, is equal to:

π

2 π

3 π

4 π

Let . Then is equal to:

Let and . If , then the value of is :

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