MHT CET 2022 Mathematics question
A vector has components 2p and 1 with respect to a rectangular Cartesian system. This system is rotated through a certain angle about the origin in the counter clockwise sense. If, with respect to the new system has components p + 1 and 1, then
Answer: (C)
Solution
Rotating the axes does not change the length of the vector, so is the same in both systems: . Hence , i.e. , i.e. . So or ,
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