A straight line through p(2,3) inclined at an angle 60 degrees with positive y axis in clockwise direction.The co-ordinates of one of the points on it at a distance 4 units from P is.?

solution:

as shown..

the equn of the line
(x – x₁) / cos A = ( y – y₁) / sin A = R

where A = angle of inclination with X-axis
R = distance of the point on the line

so ( x – 2)/ cos 30 = ( y – 3) / sin 30 = 4
( x – 2)/ {root(3)/2} = ( y – 3) / (1/2) = 4
after solving it..
x = 2 + 2* (3)^1/2
y = 5



thanks and regards
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