JEE Advanced 2008 Mathematics question

MathematicsComplex NumbersJEE Advanced 2008

A particle P 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 it 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

Moving horizontally away from the origin by 5: ; vertically away by 3: . Moving units along $Missing argument for \hat\hat i +

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Question ID VK-037605