JEE Advanced 2021 Mathematics question
For any complex number , let , where . Let and be real numbers such that for all complex numbers satisfying , the ordered pair lies on the circle
+ + 5x - 3y + 4 = 0
Then which of the following statements is (are) TRUE ?
Answer: (B),(D)
Solution
The locus is an arc of a circle through the real points and . The given circle meets the -axis where , i.e. at and , so . The circle has centre above the axis, so the
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