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Co - ordinate Geometry Ellipse

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The Distance of the point 'θ' on the ellipse x² / a² + y² / b² = 1 from a focus is

A. a(e + cosθ)

B. a(e - cosθ)

C. a(1 + ecosθ)

D. a(1 + 2e cosθ)

E. None of the above

View Answer

Correct choice: C

Explanation:

Focal distance of any point P (x,y) on the ellipse is equal to SP = a + ex. Here x = a cos θ
Here SP a + ae cosθ - a (1+ e cosθ ).

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Eamcet Mathematics Co - ordinate Geometry Ellipse

Eamcet Mathematics
Co - ordinate Geometry Ellipse