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The length of the latus rectum of an el...

The length of the latus rectum of an ellipse is 8 unit and that of the mojor axis , which lies along the x -axis, is 18 unit. Find its equation in the standard form . Determine the coordinates of the foci and the eqations of its directrices .

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The correct Answer is:
`4x^(2) + 9y^(2) = 324, (pm 3 sqrt(5), 0) and sqrt(5) x = pm 27 `
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CHHAYA PUBLICATION-ELLIPSE-Short Answer Type Questios
  1. Find the lengths of axes of the ellipse whose eccentricity is (3)/(5) ...

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  2. (1.3) and (4,-1) are two foci of an ellipse whose eccentricity is ...

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  3. The length of the latus rectum of an ellipse is 8 unit and that of th...

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  4. Taking major and minor axes along y and x-axes, find the equation of t...

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  5. Taking major and minor axes along y and x-axes, find the equation of t...

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  6. Taking major and minor axes along y and x-axes, find the equation of t...

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  7. Taking major and minor axes along y and x-axes, find the equation of t...

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  8. Taking major and minor axes along y and x-axes, find the equation of t...

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  9. Find the equation of the ellipse whose eccentricity is (1)/(2) ...

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  10. Find the equation of the ellipse whose eccentricity is (sqrt(7))...

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  11. Find the equation of the ellipse whose eccentricity is (1)/(2) ...

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  12. Find the equation of the ellipse whose focus is (3, 4) , directr...

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  13. A point moves so that its distance from (0,-3) is (1)/(sqrt(2)) tim...

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  14. Find the equation of the ellipse whose major axis is parallel to x - a...

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  15. Find the equation of the ellipse whose major axis is parallel to x - a...

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  16. Find the equation of the ellipse, for which the foci are (0,1) and (0...

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  17. The eccentricity of an ellipse is (1)/(2) , focus is S (0,0) and the ...

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  18. The lengths of major and minor axes of an ellipse are 8 and 6 and thei...

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  19. Show that the point (2,(2)/(sqrt(5))) lies on the ellipse 4x^(2) +...

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  20. Prove that SP + S'P = 20 for the ellipse (x^(2))/(100) + (y^(2))/(36)...

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