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…….is the equation of ellipse with eccen...

…….is the equation of ellipse with eccentricity `e = (2)/(3)`. Length of latus rectum is 5 and centre of origin.

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The correct Answer is:
`(4x^(2))/(81) + (4y^(2))/(45) = 1`, is required ellipse.
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Obtain equation of ellipse satisfying given conditions Eccentricity e = (2)/(3) , length of the latus rectum = 5

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In each of the Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse. (x^(2))/(36)+(y^(2))/(16)=1

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KUMAR PRAKASHAN-CONIC SECTIONS-SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)
  1. IF a circle passes through the point (0,0) (a,0),(0,b) then find the ...

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  2. Find the equation of the circle which touches X - axis and whose centr...

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  3. If the lines 3x - 4y + 4 = 0 and 6x - 8y - 7 = 0 are tangents to a cir...

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  4. Find the equation of a circle which touches both the axes and the line...

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  5. If one end a diameter of the circle x^(2) + y^(2) - 4x - 6y + 11 = 0 i...

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  6. Find the equation of the circle having (1, -2) as its centre and passi...

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  7. Find k if line y = sqrt(3)x + k touches the circle x^(2) + y^(2) = 16.

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  8. Find the equation of a circle concentric with the circle x^(2) + y^(2)...

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  9. If the latus rectum of an ellipse is equal of half of minor axis, then...

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  10. Eccentricity of ellipe 9x^(2) + 25y^(2) = 225 is …….

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  11. If the eccentricity of an ellipse is (5)/(8) and ht distance between i...

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  12. …….is the equation of ellipse with eccentricity e = (2)/(3). Length of...

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  13. Find the distance between the directrices of th ellipse (x^(2))/(36) +...

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  14. Find the co-ordinates of a point on the parabola y^(2) = 8x whose foca...

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  15. Find the length of the line-segment joining the vertex of the parabola...

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  16. If the point (0,4) and (0,2) are respectively the vertex and focus of ...

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  17. If the line y = mx + 1 is tangent to the parabola y^(2) = 4x then find...

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  18. If the distance between the foci of a hyperbola is 16 and its eccentr...

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  19. Find the eccentricity of the hyperbola 9y^(2) - 4x^(2) = 36.

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  20. Find the equation of the hyperbola with eccentricity (3)/(2) and foci ...

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