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JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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Application +4 | -1
The angle between the lines joining the origin to the points of intersection of the line 3x+y=2\sqrt{3} x+y=2 and the curve y2βˆ’x2=4y^2-x^2=4 is
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Correct option: C
tanβ‘βˆ’1(32)\tan ^{-1}\left(\frac{\sqrt{3}}{2}\right)
Option C (tanβ‘βˆ’1(32)\tan ^{-1}(\frac{\sqrt{3}}{2})) is correct because it is obtained by homogenizing the equation and then using the formula for the angle between the lines.

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