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

The equation of the family of curves which intersect the hyperbola xy=2 orthogonally is

The equation of the family of curves which intersect the hyperbola xy-2 orthogonally is

The equation of the family of curves which intersect the hyperbola xy-2orthogonally is

Find the equation of family of curves which intersect the family of curves xy=c at an angle 45^(@) .

The equation of normal at (at,(a)/(t)) to the hyperbola xy=a^(2) is

Find the eauation of the normal to the hyperbola xy=4 at the pint (2,2). Also ,determine the point at which the normal again intersects the hyperbola.

If the line y=ax+(1)/(2)a-2 intersects the hyperbola xy=1 at right angle in atleast one point then the possible integral value of (1)/(a) is

Equation of the tangent to the hyperbola 4x^(2)-9y^(2)=1 with eccentric angle pi//6 is

Equation of the tangent to the hyperbola 4x^(2)-9y^(2)=1 with eccentric angle pi//6 is