Let $O(0,0)$ and $A(0,1)$ be two fixed points. Then, the locus of a point $P$ such that the perimeter of $\triangle AOP$ is 4 is (1) $8x^2 + 9y^2 - 9y = 18$ (2) $9x^2 - 8y^2 + 8y = 16$ (3) $8x^2 - 9y^2 + 9y = 18$ (4) $9x^2 + 8y^2 - 8y = 16$
Let $O(0,0)$ and $A(0,1)$ be two fixed points. Then, the locus of a point $P$ such that the perimeter of $\triangle AOP$ is 4 is\\
(1) $8x^2 + 9y^2 - 9y = 18$\\
(2) $9x^2 - 8y^2 + 8y = 16$\\
(3) $8x^2 - 9y^2 + 9y = 18$\\
(4) $9x^2 + 8y^2 - 8y = 16$