Question

find the angle between the following straight line ax+by=a+b, a(x-y) + b(x+y) =2b​

Answer 1

Answer:

angle between two lines ⇒tanθ=∣1+m1m2∣∣m2−m1∣

where m1= slope of line 1((a+b)x+(a−b)y=2ab)

m2= slope of line 2((a−b)x+(a+b)y=2ab)

slope of line 1=(a−b)−(1+b)=m1

slope of  line 2=(a+b)−(a−b)=m2

∴m1×m2=(a−b)−(a+b)×(a+b)−(a−b)=1

m2−m1=(a+b)−(a−b)+(a−b)(a+b)

⇒