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Q.

The length of the perpendicular from the origin to a line is 7 and line makes an angle of 150° with the positive direction of y-axis, then the equation of the line is

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a

3x+y=7

b

3x-y=14

c

3x+y+14=0

d

3x+y-14=0

answer is D.

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Detailed Solution

Here p=7 and α=30°∴ Equation of the required line is xcos30°+ysin30°=7 or x32+y×12=7 or 3x+y=14
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