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The equation of the ellipse with its foc...

The equation of the ellipse with its focus at (6, 2), centre at (1, 2) and which passes through the point (4, 6) is

A

`(x-1)^(2)/(25)+(y-2)^(2)/(16)=1`

B

`(x-1)^(2)/(25)+(y-2)^(2)/(16)=1`

C

`(x-1)^(2)/(45)+(y-2)^(2)/(20)=1`

D

`(x-1)^(2)/(45)+(y-2)^(2)/(16)=1`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-ELLIPSE-EXERCISE-II
  1. Focus (-1, 1), e = 1/2 directirx i s x - y + 3 = 0 eq. of the ellipse ...

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  2. The equation of the ellipse referred to its axes as coordinate axes, w...

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  3. The equation of the ellipse with its focus at (6, 2), centre at (1, 2)...

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  4. Axes are coordinate axes, A and L are the ends of major axis and latus...

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  5. If vertices of an ellipse are (-4, 1), (6,1) and x - 2y = 2 is a focal...

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  6. Foci of an ellipse are at S(l,7),S'(l,-3) - The point P is on the elli...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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