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 is `1/a-1/b=1/a^(prime)-a/b^(prime)dot`

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

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 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)) .

If two curves ax^2 +by^2=1 and a'x^2+b'y^2=1 intersect orthogonally,then show that 1/a-1/b=1/[a']-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 for the curves (X^2)/(a^2) - (y^2)/(b^2) = 1 and xy = c^2 to intersect orthogonally.

If two curves ax^(2)+by^(2)=1 and a'x^(2)+b'y^(2)=1 intersect orthogonally,then show that (1)/(a)-(1)/(b)=(1)/(a')-(1)/(b')

The two lines a x+b y=c and a^(prime) x+b^(prime) y=c^(') are perpendicular if

If the curvs a x^2 + b y^2 = 1 and a' x^2 + b' y^2 =1 intersect orthogonally, then prove that frac{1}{a} - frac{1}{b} = frac{1}{a'} - frac{1}{b'}

If the curves ax^(2) + by^(2) =1 and a_(1) x^(2) + b_(1) y^(2) = 1 intersect each other orthogonally then show that (1)/(a) - (1)/(b) = (1)/(a_(1)) - (1)/(b_(1))