JEE Advanced 2021 Mathematics question
Let be positive valued angles (in radian) such that . Define the complex numbers , for , where . Consider the statements and given below:
P:\ | - | + | - | + ·s + | - | + | - | 2π
Q:\ | - | + | - | + ·s + | - | + | - | 4π
Then,
Answer: (C)
Solution
lie on the unit circle and . (a chord is at most its arc), and z_1z_{10}$| =
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