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Question

The equation of the line which is at a distance of 3 units from the origin and the perpendicular from the origin makes an angle of 30 with positive xaxis is


A
3 x+y=6
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B
3 xy=6
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C
x3 y=6
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D
x+3 y=6
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Solution

The correct option is A 3 x+y=6
Equation of line in normal form is
xcosα+ysinα=p
Given : p=3, α=30
xcos30+ysin30=3
x32+y2=3
3 x+y=6

Mathematics

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