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JEE Advanced Mathematics question

MathematicsComplex NumbersJEE Advanced

A particle starts from the point , where . It moves first horizontally away from origin by 5 units and then vertically away from origin by 3 units to reach a point . From the particle moves units in the direction of the vector and then moves through an angle in anticlockwise direction on a circle with centre at origin, to reach a point . The point is given by

Answer: (D)

Solution

is in the first quadrant, so "away from origin" means directions: horizontally , vertically . Moving units along $Missing argument for \hat\hat i +

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Question ID VK-110676