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07-02-2024
Mathematics

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Let O be the origin and A be the point z₁=1+ 2i. If B is the point z₂,Re(z₂)<0, such that OAB is a right angled isosceles triangle with OB as hypotenuse, then which of the following is NOT true?
a. argz₂=π-tan⁻¹3
b. z₂=√10
c. argz₁-2z₂=-tan⁻¹ 4/3
d. 2z₁=z₂=5

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