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The ends of 20 cm rope are at two points...

The ends of 20 cm rope are at two points 16 cm apart. Find the eccentricity and latus rectum of ellipse formed by the variablepoint at which the rope is tighten.

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The correct Answer is:
`e=(4)/(5)`, latus rectum `=(36)/(5)`
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NAGEEN PRAKASHAN-CONIC SECTION-Exercise 11C
  1. Find the equation of the ellipse whose co-ordinates of focus are (1,2)...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Show that the point (9,4) lies outside the ellipse (x^(2))/(10)+(y^(...

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  19. If the sum of distances of a moving point from the points (ae, 0) and ...

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  20. If the focal distance of one ed of minor axis of an ellipse is k and d...

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