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Q.

The perpendicular distance from the origin to a line L is 7 and the line L makes an angle of 1500  with the positive direction of x-axis and makes negative intercept on y-axis. Then the equation of the line is

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a

3x+y=14

b

3x−y=−14

c

3x – y = 14

d

3x + y = 14

answer is B.

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Detailed Solution

xcos1500+ysin1500=7                 x−32+y12=7⇒3x−y=−14
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The perpendicular distance from the origin to a line L is 7 and the line L makes an angle of 1500  with the positive direction of x-axis and makes negative intercept on y-axis. Then the equation of the line is