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JEE Main 2024 Mathematics question

MathematicsComplex NumbersJEE Main 2024

Consider the following two statements: Statement I: For any two non-zero complex numbers , : and Statement II: If x, y, z are three distinct complex numbers and a, b, c are three positive real numbers such that , then . Between the above two statements,

Answer: (C)

Solution

Statement I follows from the triangle inequality for two unit vectors. In Statement II, a² = k²|y − z|², so $Missing argument for \dfrac\dfrac{a^2}{y

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Question ID VK-011561