I was just wondering for this question:
A variable normal to xy = c^2 meets the x-axis and y-axis at P, Q. Show that the locus of midpoint of PQ is
1. Find equ. of normal.
2. Find P + Q.
3. Find midpoint.
4. Somehow manipulate midpoint coordinates to get locus.
I just wanted to make sure that it is the right method because it seems to me to be pretty messy since my P + Q are kinda yucky already so by the time I got to step 4...*shudders*