The measure of the acute angle between the lines given by the equation 3 x²-4 3 x y+3 y²=0 is

Step-by-step solution

Comparing 3 x²-4 3 x y+3 y²=0 , with a x²+2 h x y+b y²=0 , we get a =3, ~h =-2 3 , ~b =3 We know that, = | 2 h²-a b a+b | = | 2 12-9 3+3 |= | 2 3 6 |= | 1 3 | =30^