The curve x2−2xy+y2+3x−3y=0 cuts the x-axis at (0, 0) at an angle

x2−2xy+y2+3x−3y=0−−−−(1) dydx= −(2x−2y+3)2x+2y−3 m1= slope of (1)=(dydx)(0,0)=−fxfy=(2x−2y+3)−(2x+2y−3)=1 Slope of Tangent for  equation (1)  at (0,0)=1 Inclination of Tangent=θ=π4