If the angle between the lines given by the equation x²-3 x y+ y²+3 x-5 y+2=0, 0 , is ⁻¹ ( 1 3 ) , then =

Step-by-step solution

(D) Given equation of pair of straight lines be x²-3 x y+ y²+3 x-5 y+2=0 . Here a =1, ~b = , h = -3 2 and angle is given by ⁻¹ ( 2 h ²- ab a + b ) 1 3 = 2 9 4 - 1+ (1+ )²= (6 9 4 - )² 1+2 + ²=36 ( 9 4 - )=81-36 ²+38 -80=0 ( +40)( -2)=0 =2,-40