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))`

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 ax^(2) + by^(2) = 1, a_(1) x^(2) + b_(1)y^(2) = 1 , then show that the condition for orthogonality of above curves is (1)/(a)-(1)/(b)=(1)/(a_(1))-(1)/(b_(1))

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

The curves ax^(2)+by^(2)=1 and Ax^(2)+B y^(2) =1 intersect orthogonally, then

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')

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'

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'}

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)

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']

If the pair of lines a_(1)x^(2)+2h_(1)xy+b_(1)y^(2)=0 and a_(2)x^(2)+2h_(2)xy+b_(3)y^(2)=0 have one line in common then show that (a_(1)b_(2)-a_(2)b_(1))^(2)+4(a_(1)h_(2)-a_(2)h_(1))(b_(1)h_(2)-b_(2)h_(1))=0