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Length of the latus rectum of the ellips...

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

A

`sqrt(2)`

B

2

C

8

D

6

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Verified by Experts

The correct Answer is:
A
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HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
  1. The equation of the director circle of the ellipse x^(2)+2y^(2)+2x-12y...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. The equation of the ellipse whose focus is (1,-1) the directrix the li...

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  16. The length of the latus rectum of the ellipse 3 x^(2)+4y^(2)=12 is

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

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  18. The eccentricity of the ellipse 9x^(2) + 25y^(2) = 225 is

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  19. The length of the latus rectum of the ellipse 49 x^(2)+64 y^(2)=3136

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  20. The P is any point on the ellipse 4 x^(2)+16 y^(2)=64 whose foci are S...

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