Find the condition for the two concentric ellipses `a_1x^2+\ b_1y^2=1\ a n d\ a_2x^2+\ b_2y^2=1` to intersect orthogonally.

Find the condition for the two concentric ellipses a_(1)x^(2)+b_(1)y^(2)=1 and a_(2)x^(2)+b_(2)y^(2)=1 to intersect orthogonally.

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

Show the condition that the curves a x^2+b y^2=1 and a^(prime)\ x^2+b^(prime)\ y^2=1 Should intersect orthogonally

Show the condition that the curves a x^2+b y^2=1 and a^(prime)\ x^2+b^(prime)\ y^2=1 Should intersect orthogonally

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

Two conics a_1x^2+2h_1xy + b_1y^2 = c_1, a_2x^2 + 2h_2xy+b_2y^2 = c_2 intersect in 4 concyclic points. Then

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

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

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

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