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The sum of the focal distances from any point on the ellipse $9x^2 + 16y^2 = 144$ is

A32
B18
C16
D8
Answer & Solution
Correct answer: D. 8
**Write the ellipse in standard form:** $$\frac{x^2}{16}+\frac{y^2}{9}=1.$$ Hence the semi-major axis is $a=4$. For any point on an ellipse, the sum of distances from the two foci is $2a$. **Therefore the required sum is $$2a=8.$$ Comparing with the options, the matching choice is $8$.**
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