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Find the equation for the ellipse that s...

Find the equation for the ellipse that satisfies the given conditions:Vertices `(+-5,0)`, foci `(+-4,0)`

A

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

B

`9x^(2)+25y^(2)=225`

C

`(x^(2))/(9)+(y^(2))/(25)=1`

D

`4x^(2)+5y^(2)=20`

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-ELLIPSE-Exercise
  1. if theta is a parameter then x=a ( sin theta + cos theta), y...

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  2. The distance from the foci of P (x(1), y(1)) on the ellipse x^2/9+y^2/...

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  3. Find the equation for the ellipse that satisfies the given conditions...

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  4. The eccentricity of the curve x^(2)-4x+4y^(2)=12 is

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  5. The parametric representation of a point on the ellipse whose foci are...

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  6. if S and S are two foci of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^...

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  7. The eccentricity of the ellipse represented by 25 x^2+16 y^2-150 x-175...

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  8. the length of the latusrectum of the ellipse 5x^(2) + 9x^(2)=45...

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  9. The equation of the passing through the of the ellipse (x^(2))/(16)+(y...

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  10. the eccentricity to the conic 4x^(2) +16y^(2)-24x-32y=1 is

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  11. A set of points is such that each point is three times as far away fro...

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  12. the foci of an ellipse are (0+-6) and the equation of the direc...

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  13. An ellipse has its centre at (1,-1) and semi major axis =8 and it pass...

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  14. Let L L ' be the latusrectum and S be a focus of the ellipse (x^...

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  15. the equation of the axes of the ellispe 3x^(2)+4y^(2)+6x-8y-5=0 ...

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  16. the equations to the directrices of the ellipse 4(x-3)^(2)+9(y+2)...

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  17. if the vertices of an ellipse are (-12,4) and (14,4) and eccentr...

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  18. if the coordinates of the vertices of an ellipse are (-6,1) and (...

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  19. if the tangent at the point (4 cos phi , (16)/(sqrt(11) )sin phi ...

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  20. A man running around a race course notes that the sum of the distances...

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