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Co - ordinate Geometry Ellipse

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The sum of the focal distances of any point on the conic x²/25 + y²/16 = 1 is

A. 10

B. 9

C. 41

D. 18

E. None of the above

View Answer

Correct choice: A

Explanation:

For any point P on the ellipse have focus S and S' Sp + S'P = 2a
∴ For x²/25 + y²/16 = 1 sum of focal distances = 2 × 5 = 10.

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Eamcet Mathematics Co - ordinate Geometry Ellipse

Eamcet Mathematics
Co - ordinate Geometry Ellipse