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Let a circle C in complex plane pass through the points z 1 = 3 + 4i, z 2 = 4 + 3i and z 3 = 5i. If z( ≠ z 1 ) is a point on C such that the line through z and z 1 is perpendicular to the line through z 2 and z 3 , then arg(z) is equal to:

1. tan –1 ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ 5 2 – π
2. tan –1 ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 7 24 – π
3. tan –1
4. – π (4) tan –1 ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 4 3 – π

Correct answer: tan –1 ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 7 24 – π

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