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Complex Numbers question

2022 · 25 Jun · Shift 2 · Q25
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  2. /JEE Main
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  5. /2022 · 25 Jun · Shift 2 · Q25

Complex Numbers question

2022 · 25 Jun · Shift 2 · Q25

JEE MainMathematicsComplex NumbersMCQ+4 / −1
Let z1 and z2 be two complex numbers such that z‾1=iz‾2{\overline z _1} = i{\overline z _2}z1​=iz2​ and arg⁡(z1z‾2)=π\arg \left( {{{{z_1}} \over {{{\overline z }_2}}}} \right) = \piarg(z2​z1​​)=π. Then :
  1. A
    arg⁡z2=π4\arg {z_2} = {\pi \over 4}argz2​=4π​
  2. B
    arg⁡z2=−3π4\arg {z_2} = - {{3\pi } \over 4}argz2​=−43π​
  3. C
    arg⁡z1=π4\arg {z_1} = {\pi \over 4}argz1​=4π​
  4. D
    arg⁡z1=−3π4\arg {z_1} = - {{3\pi } \over 4}argz1​=−43π​
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