Question -
Answer -
Given:
Points (2, 0), (0, 3)and the line x + y = 1.
Let us assume A (2,0), B (0, 3) be the given points.
Now, let us find theslopes
Slope of AB = m1
= [(3-0) / (0-2)]
= -3/2
Slope of the line x +y = 1 is -1
тИ┤┬аm2┬а=-1
Let┬а╬╕┬аbe theangle between the line joining the points (2, 0), (0, 3) and the line x + y =
tan ╬╕ = |[(m1┬атАУm2) / (1 + m1m2)]|
= [(-3/2 + 1) / (1 +3/2)]
= 1/5
╬╕ = tan-1┬а(1/5)
тИ┤ The acute anglebetween the line joining the points (2, 0), (0, 3) and the line x + y = 1is┬аtan-1┬а(1/5).