Q.
The equation of set of lines which are at a constant distance of 2 units from the origin andαis angle made by perpendicular from origin is
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a
x+y+2=0
b
x+y+4=0
c
xcosα+ysinα=2
d
xcosα+ysinα=12
answer is C.
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Detailed Solution
If normal to the line makes an angle α with x-axis, then equation of line isxcosα+ysinα=p, where p is distance of line form origin.Here, p=2So, the equation of line is xcosα+ysinα=2.
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