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

Show that the curves x=y^2 and x y=k cut at right angles, if 8k^2=1 .

Show that the curves x=y^2a n dx y=k cut at right angles, if 8k^2=1

Show that the curves 2x=y^2 and 2x y=k cut at right angles, if k^2=8 .

Show that the curves 4x=y^2 and 4x y=k cut at right angles, if k^2=512 .

Show that the curves 4x=y^2 and 4x y=k cut at right angles, if k^2=512 .

Show that the curves 2x=y^2a n d2x y=k cut at right angles, if k^2=8.

Prove that the curves "x"="y"^2 and "x y"="k" intersect at right angles if 8"k"^2=1.

Prove that the curves y=x^(3) and xy=k cut each other orthogonally, if 3k= 1.

Prove that the curve y = x^2 and xy = k intersect orthogonally if 8k^2 = 1 .

Prove that the straight lines joining the origin to the points of intersection of the straight line hx+ky=2hk and the curve (x-k)^(2)+(y-h)^(2)=c^(2) are at right angle if h^(2)+k^(2)=c^(2) .