Find the equation of the straight line upon which the length of perpendicular from origin is units and this perpendicular makes an angle of 75o with the positive direction of x-axis.
Let AB be the required line and OL be perpendicular to it.
∴ equation of line AB will be
[Normal form] … (i)
Now cos 75o = cos (30o + 45o)
∴ form (i) equation of line AB is
then the point (x, y) lies on same side of the line 2x + y – 6 = 0 as the point –
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