Show that the following set of curves intersect orthogonally: `y=x^3a n d6y=7-x^2` `x^3-3x y^2=-2a n d3x^2y-y=2.` `x^2+4y^2=8a n dx^2-2y^2=4`

Show that the following set of curves intersect orthogonally: y=x^(3) and 6y=7-x^(2)x^(3)-3xy^(2)=-2 and 3x^(2)y-y=2x^(2)+4y^(2)=8 and x^(2)-2y^(2)=4

Show that the following set of curves intersect orthogonally: (i) y=x^3 and 6y=7-x^2 , (ii) x^3-3x y^2=-2 and 3x^2y-y^3=2. (iii) x^2+4y^2=8 and x^2-2y^2=4

Show that x^2+4y^2=8 and x^2-2y^2=4 intersect orthogonally

Show that x^2+4y^2=8 and x^2-2y^2=4 intersect orthogonally

Show that x^2=4y and 4y+x^2=8 intersect orthogonally at (2,\ 1)

Show that x^2=4y and 4y+x^2=8 intersect orthogonally at (2,\ 1)

Show that x^3-3x y^2=-2 and 3x^2\ y-y^3=2 intersect orthogonally:

Find the angle of intersection of the following curves : y^2=xa n dx^2=y y=x^2a n dx^2+y^2=20 2y^2=x^3a n dy^2=32 x x^2+y^2-4x-1=0a n dx^2+y^2-2y-9=0 (x^2)/(a^2)+(y^2)/(b^2)=1a n dx^2+y^2=a b x^2+4y^2=8a n dx^2-2y^2=2 x^2=27ya n dy^2=8x x^2+y^2=2xa n dy^2=x y=4-x^2a n dy=x^2

Show that x^3-3x y^2=(-2) and 3x^2\ y-y^3=2 intersect orthogonally.