Find the condition for the following set of curves to intersect orthogonally: `(x^2)/(a^2)-(y^2)/(b^2)=1` and `x y=c^2` `(x^2)/(a^2)+(y^2)/(b^2)=1` and `(x^2)/(A^2)-(y^2)/(B^2)=1.`

Find the condition for the following set of curves to intersect orthogonally: (x^2)/(a^2)+(y^2)/(b^2)=1 and (x^2)/(A^2)-(y^2)/(B^2)=1.

Find the condition for the following set of curves to intersect orthogonally: (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 and xy=c^(2)(x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and (x^(2))/(A^(2))-(y^(2))/(B^(2))=1

Find the condition for the curves: x^2/a^2-y^2/b^2=1,xy=c^2 to intersect orthogonally.

Show that the following set of curves intersect orthogonally: y=x^(3) and 6y=7-x^(2)x^(3)-3xy^(2)=-2 and 3x^(2)y-y=2x^(2)+4y^(2)=8 and x^(2)-2y^(2)=4

Find the angle of intersection of curve (x^2)/(a^2)+(y^2)/(b^2)=1 and x^2+y^2=a b

Find the angle of intersection of curve (x^2)/(a^2)+(y^2)/(b^2)=1 and x^2+y^2=a b

Which of the following pair(s) of curves is/are orthogonal? y^(2)=4ax;y=e^(-(1)/(2))y^(2)=4ax;x^(2)=4ayat(0,0)xy=a^(2);x^(2)-y^(2)=b^(2)y=ax;x^(2)+y^(2)=c^(2)

Find the condition for the curves (X^2)/(a^2) - (y^2)/(b^2) = 1 and xy = c^2 to intersect orthogonally.

The angle of intersection of the curves (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and x^(2)+y^(2)=ab, is

Find the equation of the tangent and normal to the following curve at the given point : x^2/a^2+y^2/b^2=1 at (x_1,y_1)