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Convert the following equation of ellips...

Convert the following equation of ellipse into standard from .
(i) `16x^(2)+9y^(2)=144`
(ii) `9x^(2)+25y^(2)=225`

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The correct Answer is:
(i) `(x^(2))/(3^(2))+(y^(2))/(5^(2))=1`, (ii) `(x^(2))/(5^(2))+(5^(2))/(3^(2))=1`
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NAGEEN PRAKASHAN-CONIC SECTION-Exercise 11C
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  2. Find the co-ordinates of vertices, length of major and minor axis, ecc...

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  3. Find the equation of the ellipse whose co-ordinate of focus are (6,7),...

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  4. Find the eqation of the ellipse whose co-ordinates of focus are (3,2),...

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  5. Find the equation of the ellipse whose co-ordinates of focus are (1,2)...

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  6. Find the equation of the ellipse whose foci are (pm4,0) and eccentrici...

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  7. Find the equation of the ellipse whose foci are (0,pm3) and eccentrici...

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  8. Find the equation of the ellipse whose vertices are (pm6,0) and foci a...

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  9. Find the equation of the ellipse whose vertices are (0,pm4) and foci a...

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  10. Find the equation of the ellipse whose vertices are (pm2,0) and foci a...

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  11. Find the equation of the ellipse whose major axis is 12 and foci are (...

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  12. If the eccentricity of an ellipse is zero, then show that it will be a...

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  13. Find the equation of the ellipse whose foci are (pm2,0) and eccentrici...

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  14. Find the equation of the ellipse whose foci are (0,pm1) and eccentrici...

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  15. Find the equation of the ellipse whose foci are (pm3,0) and it passes ...

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  16. Find the eccentricity of the ellipse whose (i) latus rectum is half ...

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  17. Find the equation of the ellipse which passes through the points (3,1)...

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  18. Find the eccentricity of the ellipse whose latus rectum is one third o...

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  19. Find the equation of the ellipse whose minor aixs is equal to the dist...

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  20. The ends of 20 cm rope are at two points 16 cm apart. Find the eccentr...

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