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JEE MATHEMATICS MCQ: TRANSFORMATION OF AXES

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Application +4 | -1
For which of the following value of α=……\alpha=\ldots \ldots, the slope of the line xcos⁡α+ysin⁡α=px \cos \alpha+y \sin \alpha=p (where p≠0p \neq 0 ) is 3\sqrt{3}.
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Correct option: D
5π6\frac{5 \pi}{6}
Option D (5π6\frac{5 \pi}{6}) is correct because it is the value of α\alpha for which the slope of the given line is 3\sqrt{3}, derived by using the relationship between the slope and the angle in a linear equation.

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