The measure of the angle between the lines x²+2 x y cosec +y²=0 is

Step-by-step solution

We have x²+2 x y cosec +y²=0 Comparing it with standard form, we get a =1, ~h = cosec , b =1 Let be the angle between the lines. aligned &= | 2 h ²- ab a + b | &= | 2 cosec ² -1 1+1 |= | 2 ² 2 | &= = ( 2 - ) = 2 - & aligned