Question

Q. If the line joining two points A(2,0) and B(3,1) is rotated about A in the anticlockwise direction through an angle of 15°. Find the equation of the line is in New position........

Answer 1

Solution :-

slope of the line AB = 1−03−2=1
thus the angle made with the x-axis is 45 deg
let after rotation the point B reaches to the point C.
such that ∠CAB=15
thus the slope of the line CA be tan(45+15)=tan60=3√
the coordinates of the point A are (2,0)
therefore the equation of the line CA is:
y−0=3√(x−2)3√x−y=23√

hope this helps you

Answer 2

Solution :-

slope of the line AB = 1−03−2=1

thus the angle made with the x-axis is 45 deg

let after rotation the point B reaches to the point C.

such that ∠CAB=15

thus the slope of the line CA be tan(45+15)=tan60=3√

the coordinates of the point A are (2,0)

therefore the equation of the line CA is:

y−0=3√(x−2)3√x−y=23√