Let O(0,0) and A(0,1) be two fixed points.

Question:

Let $\mathrm{O}(0,0)$ and $\mathrm{A}(0,1)$ be two fixed points. Then the locus of a point $P$ such that the perimeter of $\triangle A O P$ is 4 , is :

1. $8 x^{2}-9 y^{2}+9 y=18$

2. $9 x^{2}+8 y^{2}-8 y=16$

3. $8 x^{2}+9 y^{2}-9 y=18$

4. $9 x^{2}-8 y^{2}+8 y=16$

Correct Option: , 2

Solution: