A tangent to the ellipse $\frac{x^2}{25}+\frac{y^2}{16}=1$ intersect the co-ordinate axes at $A$ and $B,$ then locus of circumcentre of triangle $AOB$ (where $O$ is origin) is
A tangent to the ellipse $\frac{x^2}{25}+\frac{y^2}{16}=1$ intersect the co-ordinate axes at $A$ and $B,$ then locus of circumcentre of triangle $AOB$ (where $O$ is origin) is
- A
$\frac{16}{x^2}+\frac{25}{y^2}=1$
- B
$16x^2 + 25y^2 = 4$
- C
$\frac{25}{x^2}+\frac{16}{y^2}=4$
- D
$\frac{25}{x^2}+\frac{16}{y^2}=1$
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