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If F1 and F2 are the feet of the per...

If `F_1` and `F_2` are the feet of the perpendiculars from the foci `S_1a n dS_2` of the ellipse `(x^2)/(25)+(y^2)/(16)=1` on the tangent at any point `P` on the ellipse, then prove that `S_1F_1+S_2F_2geq8.`

A

`S_(1)F_(1)+S_(2)F_(2) ge 2`

B

`S_(1)F_(1)+S_(2)F_(2) ge 3`

C

`S_(1)F_(1)+S_(2)F_(2) ge 6`

D

`S_(1)F_(1)+S_(2)F_(2) ge 8`

Text Solution

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The correct Answer is:
D
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