[" (b) Find the condition for the curves "a_(1)x^(2)+by^(2)=1],[a_(2)x^(2)+b_(2)y^(2)=1" to intersect orthogonally."]

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

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

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

If the curve ax^(2)+by^(2)=1 and a'x^(2)+b'y^(2)=1 intersect orthogonally, then

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

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)