Question

1. 1. Find the acute angle between the pair of lines represented by the following equations.
x2 + 2xy cot alpha - y2 = 0
​

Answer 1

Answer:

Equation can be written as x2+y2−2xycscα=0

Comparing it with ax2+2hxy+by2=0

and

m1+m2=−b2h=2cscαm1m2=ba=1

tanθ=∣∣∣∣∣1+m1m2m1−m2∣∣∣∣∣=∣∣∣∣∣∣1+m1m2(m1+m2)2−4m1m2∣∣∣∣∣∣=