Find the value of a if the curves `ay+x^(2)=7` and `x^(3)=y` intersect at right angle at Point `(1,1)`

Find the angle of intersection of the curves y^(2)=x and x^(2)=y

Prove that the curves x=y^(2) and xy=k intersect at right angles if 8k^(2)=1

For what values of a will the curves (x^(2))/(a^(2))+(y^(2))/(4)=1 and y^(3)=16x intersect at right angles?

Find the angle of intersection of the curves 2y^(2) = x^(3) and 32x .

If the curves ay + x^(2) =7 and x^(3) =y cut orthogonally at (1,1) then the value of a is

Find the angle of intersection of curve 2y^2=x^3 and y^2=32 x

Find the angle of intersection of curve x^2+y^2=2x and y^2=x

Find the angle of intersection of curves y=x^(3) and 6y=7-x^(2) at point (1,1)

If the curves ay+x^(2)=7 and x^(3)=y cut orthogonally at (1,1), then find the value a .