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The length of the latus - rectum of the ...

The length of the latus - rectum of the ellipse `(x^(2))/(25) + (y^(2))/(9) = 1` is

A

`a e`

B

`a^(2) e^(2)`

C

`a e^(3)`

D

`a^(2) e^(3)`

Text Solution

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The correct Answer is:
C
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HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
  1. The number of tangents from (4,7) to the ellipse (x^(2))/(16)+(y^(2))/...

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  2. S(1) and S(2) are the foci of an ellipse and B is the end of the minor...

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  3. The length of the latus - rectum of the ellipse (x^(2))/(25) + (y^(2))...

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  4. The length of the major axis is three times the length of minor axis, ...

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  5. An ellipse has OB as a semi-minor axis. S(1),S(2) are its foci and the...

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  6. The equation of the locus of the middle point of the portion of the ta...

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  7. If sqrt(3) b x+a y=2 a b is a tangent to the ellipse (x^(2))/(a^(2))+(...

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  8. If a normal at any point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)...

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  9. Locus of the point of intersection of the tangent at the ends of focal...

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  10. The equation of a common tangent to the circle x^(2)+y^(2)=16 and the ...

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  11. . If P Q andP R are the tangents from P to the ellipse (x^(2))/(2)+y^(...

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  12. If the tangents drawn from a point (1,2 sqrt(3)) to the ellipse (x^(2)...

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  13. Circles are described on the major axis and on the line joining the fo...

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  14. Normal at one end of the latus rectum of the ellipse (x^(2))/(a^(2))+(...

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  15. Equation of the ellipse is (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 with foci...

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  16. If e(1) is the eccentricity of ellipse(x^(2))/(a^(2))+(y^(2))/(b^(2))=...

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  17. If S(1) and S(2) are the foci of (x^(2))/(25)+(y^(2))/(16)=1 and Pis a...

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  18. C is the centre of the ellipse (x^(2))/(25)+(y^(2))/(16)=1 and S is on...

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  19. If the eccentricity of the ellipse is (2)/(3), then the ratio of the m...

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  20. The product of the perpendiculars from the foci of the ellipse (x^(2))...

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