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Find the eqation of the ellipse whose co...

Find the eqation of the ellipse whose co-ordinates of focus are (3,2), eccentricity is `(2)/(3)` and equation of directrix is 3x+4y+5=0.

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The correct Answer is:
`189x^(2)+161y^(2)-96xy-1470x-1060y+2825=0`
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NAGEEN PRAKASHAN-CONIC SECTION-Exercise 11C
  1. Find the co-ordinates of vertices, length of major and minor axis, ecc...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. A rod AB of length 30 cm moves such that its ends always touching the ...

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