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Question

If the length of perpendicular from origin to a line is 6 units and the line makes an angle of 30 with the positive yaxis (anti clockwise), then the equation of line is
  1. 3 xy=12
  2. x3 y=12
  3. 3 x+y=12
  4. x+3 y=12


Solution

The correct option is C 3 x+y=12
We have
p=6
α=30

So, equation of line is
xcosθ+ysinθ=P
xcos30+ysin30=6
32x+12y=6
3 x+y=12

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