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If the eccentricity of the ellipse is (2...

If the eccentricity of the ellipse is `(2)/(3)`, then the ratio of the major axis to minor axis is

A

`sqrt(5): 3`

B

`3: sqrt(5)`

C

` 5: 9`

D

`9: 5`

Text Solution

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The correct Answer is:
B
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HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
  1. If S(1) and S(2) are the foci of (x^(2))/(25)+(y^(2))/(16)=1 and Pis a...

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

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

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

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  5. If P is any point on the ellipse 16 x^(2)+25 y^(2)=400 then P S(1)+P S...

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  6. The equation (x^(2))/(10-a)+(y^(2))/(4-a)=1 represents an ellipse if

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  7. The equation of the director circle of the ellipse x^(2)+2y^(2)+2x-12y...

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  8. Equation of the auxilary circle of the ellipse 3 x^(2)+4 y^(2)+6 x+16 ...

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  9. Length of the latus rectum of the ellipse 2 x^(2)+y^(2)-8 x+2 y+7=0 is

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  10. The foci of the ellipse 25(x+1)^(2)+9(y+2)^(2)=225 are at

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  11. The locus of the point which moves such that sum of its distance from ...

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  12. If S(1) and S(2) are the foci of (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and...

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

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  14. If e(1) and e(2) are eccentricities of the ellipse (x^(2))/(18)+(y^(2)...

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  15. The tangents at the ends of the latus rectum L S(1) L^(prime) of the e...

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  16. The tangent to the ellipse (x^(2))/(25)+(y^(2))/(16)=1 at the end of t...

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  17. Area of the quadrilateral formed by the tangents at the ends of latus ...

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  18. The eceentricity of the ellipse whose axes are the coordinate axes and...

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  19. Area of the greatest rectangle that can be inseribed in the ellipse (x...

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  20. Find the equation of the ellipse whose centre is at the origin and maj...

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