JEE Main Mathematics question

MathematicsComplex NumbersJEE Main

Two points and in Argand plane represent and respectively. If moves on a circle with centre at origin and radius and , find .

Answer: 1.5

Solution

, so moves on the circle with centre (of modulus and argument ) and radius . The origin lies outside this circle, and the tangents from it make an angle

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Question ID VK-014224