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Equation of the ellipse whose axes are t...

Equation of the ellipse whose axes are the axes of coordinates and which passes through the point (-3, 1) and has eccentricity `sqrt(2//5)` is :

A

`3x^(2)+5y^(2)-15=0`

B

`5x^(2)+3y^(2)-32=0`

C

`3x^(2)+5y^(2)-15=0`

D

`5x^(2)+3y^(2)-48=0`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-ELLIPSE-EXERCISE-II
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  2. The eccentricity of an ellipse, with its centre at the origin, is 1/2....

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  3. Equation of the ellipse whose axes are the axes of coordinates and whi...

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  4. Focus (-1, 1), e = 1/2 directirx i s x - y + 3 = 0 eq. of the ellipse ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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