find the eqn of a line through the pt A(2,0) which makes an angle of30 degree with +ve direction of - Maths - Straight Lines

Question

find the eqn of a line through the pt A(2,0) which makes an angle
of30 degree with +ve direction of x axis is rotated about A in
clockwise direction through an angle 15 degree find the eqnof the
line in new position

Rajat Sethi · Accepted Answer

Slope of original line = m =tan30°As line is rotated 15° in c/w directionSlope of new line =m'=tan(30-15)=tan 15°=3-13+1=2-3Since, it passes through,A(2,0)Reqd equation:y-y1=m'(x-x1)⇒y-0 =2-3(x-2)⇒y=(2-3)x-4+23

find the eqn of a line through the pt A(2,0) which makes an angle of30 degree with +ve direction of x axis is rotated about A in clockwise direction through an angle 15 degree . find the eqnof the line in new position .