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a
xcosπ6+ysinπ6
b
xcos1500+ysin1500=3
c
x+y=3
d
xcos1500+ysin1500=32
answer is D.
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Detailed Solution
−3x+y=3 make the constant positive and divide with a2+b2=3+1=2 −32x+12y=32 ⇒x cos α+y sin α =p , where cos α=-32, sin α=12⇒α belongs to second quadrant.⇒α=150° xcos1500+ysin1500=32