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JEE Advanced Mathematics question

MathematicsVector AlgebraJEE Advanced

Two adjacent sides of a parallelogram are given by and . The side is rotated by an acute angle in the plane of the parallelogram so that becomes . If makes a right angle with the side then the cosine of the angle is given by

Answer: (B)

Solution

, , . So

BAD = = Missing argument for \frac\frac89 ( BAD acute).

*(Figure: horizontal, making angle with , vertical.)* Rotating away

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Question ID VK-110754