If the two curve `2x^2-3y^2 = 1` and `x^2 + ky^2 = 1` cut each other orthogonally then `[k]=`

If the curve ax^(2) + 3y^(2) = 1 and 2x^2 + 6y^2 = 1 cut each other orthogonally then the value of 2a :

The curves 2x^(2) + 3y^(2) = 1 and cx^(2) + 4y^(2) = 1 cut each other orthogonally then the value of c is:

If the curves x^2/a^2+y^2/b^2=1 and x^2/l^2-y^2/m^2=1 cut each other orthagonally, then

If the curves x^2/a^2+y^2/b^2=1 and x^2/25+y^2/16=1 cut each other orthagonally, then a^2-b^2 =

If the curves x^2+py^2=1 and qx^2+y^2=1 are orthogonal to eeach other, then

Show that the curve x^(3)-3xy^(2)=a and 3x^(2)y-y^(3)=b cut each other orthogonally, where a and b are constants.

Prove that the curves 2y^(2)=x^(3) and y^(2)=32x cut each other orthogonally at the origin