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JEE MATHEMATICS MCQ: STRAIGHT LINES

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Application +4 | -1
Coordinates of the foot of the perpendicular drawn from (0, 0) to the line joining (acos⁡α,asin⁡α(a\cos \mathrm{\alpha },a\sin \mathrm{\alpha }) and (acos⁡β,asin⁡βa\cos \mathrm{\beta },a\sin \mathrm{\beta }) are
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Correct option: B
(a2(cos⁡α+cos⁡β),a2(sin⁡α+sin⁡β))\left( {\frac{a}{2}\left( {\cos \mathrm{\alpha } + \cos \mathrm{\beta }} \right),\frac{a}{2}\left( {\sin \mathrm{\alpha } + \sin \mathrm{\beta }} \right)} \right)
Option B is correct because it involves finding the equation of the perpendicular from the origin to the line joining the two given points and then solving for the point of intersection.

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