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Let Pi and Pi ' be the feet of the perpe...

Let `P_i` and `P_i '` be the feet of the perpendiculars drawn from the foci `Sa n dS '` on a tangent `T_i` to an ellipse whose length of semi-major axis is 20. If `sum_(i=0)^(10)(S P_i)(S^(prime)Pi ')=2560 ,` then the value of eccentricity is (a) `1/5` (b) `2/5` (c) `3/5` (d) `4/5`

A

`1/5`

B

`2/5`

C

`3/5`

D

`4/5`

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The correct Answer is:
B, C
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ARIHANT MATHS ENGLISH-ELLIPSE-Exercise (Questions Asked In Previous 13 Years Exam)
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  8. The line passing through the extremity A of the major exis and extremi...

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  11. The conic having parametric representation x=sqrt3(1-t^(2)/(1+t^(2))),...

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  12. The ellipse x^2+""4y^2=""4 is inscribed in a rectangle aligned with...

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  13. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

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  14. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

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  15. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

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  16. Find the equation of an ellipse hose axes lie along the coordinate ...

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  17. The ellipse E1:(x^2)/9+(y^2)/4=1 is inscribed in a rectangle R whose s...

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  18. Statement 1: An equation of a common tangent to the parabola y^2=16s...

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  19. An ellipse is drawn by taking a diameter of the circle (x-1)^2+y^2=1 ...

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