A) \[\frac{25}{144}\]
B) \[\frac{144}{25}\]
C) \[\frac{7}{12}\]
D) \[\frac{12}{7}\]
Correct Answer: A
Solution :
[a]Equation of ellipse \[\frac{{{x}^{2}}}{16}+\frac{{{y}^{2}}}{9}=1\] |
\[\angle ACB=90{}^\circ \] |
\[CA=4,CB=3\] |
\[\Rightarrow \]\[\frac{1}{C{{A}^{2}}}+\frac{1}{C{{B}^{2}}}=\frac{1}{16}+\frac{1}{9}=\frac{25}{144}\] |
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