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


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


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