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The length of the latusrectum of 9x^(2) ...

The length of the latusrectum of `9x^(2) + 25y^(2) - 90x - 150y + 225 = 0` is

A

`9/5`

B

`18/5`

C

`18/25`

D

`9/25`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-ELLIPSE-EXERCISE-II
  1. For the ellipse (x^(2))/(25)+(y^(2))/(16) = 1, a list of lines given i...

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  2. The foci of the ellipse 9x^(2)+25y^(2)-36x+50y-164=0 are

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  3. The length of the latusrectum of 9x^(2) + 25y^(2) - 90x - 150y + 225 =...

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  4. Equations of the latus recta of the ellipse 9x^(2)+4y^(2)-18x-8y-23=0 ...

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  5. If the equation 8[(x + 1)^(2) + (y - 1)^(2)] = (x - y + 3)^(2) repres...

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  6. If A = (1,2),B = ( 3 ,-2 ) and P moves in the plane such that AP + BP ...

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  7. Match the following from List-I to List-II {:(list-I,list-II),("majo...

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  8. (x - 2)^(2) + (y + 3)^(2) = 16 touching the ellipse (x-2)^(2)/(p^(2))+...

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  9. The radius of the circle passing through the foci of the ellipse x^(2)...

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  10. S and S^(1) foci of an ellipse. B is one end of the minor axis. If I.S...

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  11. A focus of an ellipse is at the origin the directrix is the line x=4 a...

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  12. The eccentricity of the ellipse x^(2)+4y^(2)+2x+16y+13=0 is

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  13. LL^(1) is the latus rectum of an ellipse and triangleS^(1)LL^(1) is an...

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  14. The area of an ellipse is 8pi sq. units dist. between the foci is 4sqr...

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  15. Statement-I : If a Iatusrectum of an ellipse subtends angle 60^(@) at ...

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  16. A circle is described with minor axis of an ellipse as a diameter. If ...

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  17. The eccentricity of the ellipse given by the locus of the point P(x, y...

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  18. If (5, 12) and (24, 7) are the focii of conic passing through (0, 0), ...

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  19. If S and S^(1) are the foci BB^(1) is the minor axis such that Ang(SBS...

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  20. The eccentricity of the ellipse x^(2)/9+y^(2)/16=1 is

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