Step 1:

The curve equations are and .

Consider .

Apply derivative with respect to .

Step 2:

Consider .

Now,

Apply derivative on each side.

Substitute in the above expression.

.

Now we can observe that product slope of and is equal to .

Therefore both the curves are orthogonal to each side.

Step 3:

Graph both the curves.

, and

Solution :

The two curves and are orthogonal to each other.