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Question

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


Solution

Let AB be the given line which make an angle of 1500 with the positive
direction of y-axis and OQ be the perpendicular drawn from the origin on the line.
Here, p = 7 and α=30

So, the equation of the line AB  is

xcosα+ysinα=p xcos30+ysin30°=73x2+y2=73x+y=14


Mathematics
RD Sharma XI (2015)
Standard XI

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