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
∴ m2 =-1
Let θ be theangle between the line joining the points (2, 0), (0, 3) and the line x + y =
tan θ = |[(m1 –m2) / (1 + m1m2)]|
= [(-3/2 + 1) / (1 +3/2)]
= 1/5
θ = tan-1 (1/5)
∴ The acute anglebetween the line joining the points (2, 0), (0, 3) and the line x + y = 1is tan-1 (1/5).