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The equation (x^(2))/(10-k)+(y^(2))/(k-...

The equation `(x^(2))/(10-k)+(y^(2))/(k-4)=1` represents an ellipse if

A

`klt4`

B

`kgt10`

C

`4ltklt10`

D

`5in(4,7)mu(7,10)`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-ELLIPSE-EXERCISE-II
  1. Foci of an ellipse are at S(l,7),S'(l,-3) - The point P is on the elli...

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  2. Find the equation of the ellise in the standard form whose distance be...

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

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  4. For the ellipse (x^(2))/(25)+(y^(2))/(16) = 1, a list of lines given i...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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