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JEE MATHEMATICS MCQ: STRAIGHT LINES

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Application +4 | -1
The measure of the angle between the lines xcos⁡β+ysin⁡β=5π2x \cos \beta+y \sin \beta=\frac{5 \pi}{2} and xcos⁡α+ysin⁡α=π2x \cos \alpha+y \sin \alpha=\frac{\pi}{2} is
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Correct option: D
∣β−α∣|\beta-\alpha|
Option D (∣β−α∣|\beta-\alpha|) is correct because it represents the absolute difference between the angles, which gives the acute angle between the lines.

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