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If F1" and "F2 be the feet of perpendicu...

If `F_1" and "F_2` be the feet of perpendicular from the foci `S_1" and "S_2` of an ellipse `(x^2)/(5)+(y^2)/(3)=1` on the tangent at any point P on the ellipse then `(S_1F_1)*(S_2F_2)` is

A

2

B

3

C

4

D

5

Text Solution

Verified by Experts

The correct Answer is:
B
We know that the product of perpendiculars from two foci of an ellipse upon any tengent is equal to the square of the semi-minor axis.
`therefore (S_(1) F_(1)) (S_(2) F_(2)) = 3`
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OBJECTIVE RD SHARMA ENGLISH-ELLIPSE-Section I - Solved Mcqs
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  2. The tangent at a point P(acosvarphi,bsinvarphi) of the ellipse (x^2)/(...

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  3. If F1" and "F2 be the feet of perpendicular from the foci S1" and "S2 ...

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  4. The area of the rectangle formed by the perpendicular from the center ...

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  6. P is a variable on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 with AA ' ...

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  7. Find the equation of an ellipse the distance between the foci is 8 ...

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  8. The line x = at^(2) meets the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 in...

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  9. On the ellipse 4x^2+9y^2=1, the points at which the tangents are paral...

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  10. If circumcentre of an equilateral triangle inscribed in x^(2)/a^(2) + ...

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  11. Find the locus of the middle points of all chords of (x^2)/4+(y^2)/...

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  12. A point on the ellipse x^(2)/16 + y^(2)/9 = 1 at a distance equal to t...

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  13. A tangent to the ellipse Ax^(2)+9y^(2)=36 is cut by the tangent at the...

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  14. If C is the center and A ,B are two points on the conic 4x^2+9y^...

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  15. Ellipses which are drawn with the same two perpendicular lines as axes...

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  16. The eccentricity of the ellipse which meets the straight line x/7+y/2=...

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  17. The radius of the circle passing through the foci of the ellipse (x...

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  18. An ellipse has O B as the semi-minor axis, Fa n dF ' as its foci...

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  19. The focus of an ellipse is (-1, -1) and the corresponding directrix is...

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  20. Find the equation fo the ellipse with its centre at (1, 2) focus at (6...

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