JEE Main 2022 Mathematics question
Let a circle C in complex plane pass through the points , and . If z is a point on C such that the line through z and is perpendicular to the line through and , then arg(z) is equal to :
Answer: (2)
Solution
The three points (3, 4), (4, 3) and (0, 5) all lie at distance 5 from the origin, so C is . The line through (4, 3) and (0, 5) has slope −1/2, so the line through z(x, y) and
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