Find the condition for the curve `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1 and xy =c^(2)` to interest orthogonally.

If curves (x^2)/(a^2)-(y^2)/(b^2)=1 and xy= c^2 intersect othrogonally , then

Find the value of a if the curves (x^(2))/(a^(2))+(y^(2))/(4)=1 and y^(3)=16x cut orthogonally.

Find the equation of the normal to the curve (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at (x_(0),y_(0))

If the curves (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and (x^(2))/(c^(2))+(y^(2))/(d^(2))=1 intersect orthogonally, then

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

Prove that the curve (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(x^(2))/(a^(12))+(y^(2))/(b^(2))=1 intersect orthogonally if a^(2)-a^(2)=b^(2)-b^(2)

Find the equation of the tangent to the curve (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at the point (sqrt(2)a, b) .

Show the condition that the curves ax^(2)+by^(2)=1 and a'x^(2)+b'y^(2)=1 should intersect orthogonally is (1)/(a)-(1)/(b)=(1)/(a')-(a)/(b)

Find the angle between the curves x^(2)-(y^(2))/(3)=a^(2) and C_(2):xy^(3)=c

Prove that the curve 2x^(2)+3y^(2)=1 and x^(2)-y^(2)=(1)/(12) intersect orthogonally.