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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

Here, P = perpendicular distance from origin = 7

Angle made with y-axis is 150,

 Angle made with x-axis is 30

cos α=cos 30=32

sin α=sin 30=12

The equation of line is

x cos α+y sin α=p

x(32)+y(12)=7

3x+y=14


Mathematics
RD Sharma
Standard XI

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