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 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 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)

Show the condition that the curves a x^2+b y^2=1 and Ax^2+By^2=1 should intersect orthogonally is 1/a-1/b=1/A-1/Bdot

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.

Find the condition for the orthogonality of the curves ax^2 + by^2 = 1 and a_1 x^2 + b_1 y^2 = 1

If the curves ax^2 + by^2 =1 and a'x^2 +b'y^2 =1 intersect orthogonally, prove that: 1/a-1/a'=1/b-1/b'

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 that the curves 2x = y^2 and 2 xy = k may intersect orthogonally.

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