Family of curves whose tangent at a point with its intersection with the curve `xy = c^2` form an angle of `pi/4` is

The family of curves whose tangent form an angle (pi)/(4) with the hyperbola xy=1,is

The family of curves whose tangent form an angle (pi)/(4) with the hyperbola xy=1,is

The family of curves whose tangent form an angle (pi)/(4) with the hyperbola xy=1,is

find the angle of intersection of the curve xy=6 and x^2y=12

find the angle of intersection of the curve xy=6 and x^2y=12

The differential equation of the family of curves whose tangent at any point makes an angle of (pi)/(4) with the ellipse (x^(2))/(4)+y^(2)=1 is

The differential equation of the family of curves whose tangent at any point makes an angle of (pi)/(4) with the ellipse (x^(2))/(4)+y^(2)=1 is

The equation of curves which intersect the hyperbola xy=4 at an angle pi/2 is