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Find the eccentricity of an ellipse (x^2...

Find the eccentricity of an ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` whose latus rectum is half of its major axis.

A

`(1)/(sqrt(2))`

B

`sqrt((2)/(3))`

C

`(sqrt(3))/(2)`

D

none of these

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The correct Answer is:
A
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FIITJEE-ELLIPSE-ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL-I)
  1. P is any point on the ellipise (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and S...

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  2. The curve with parametric equations x=1+4 cos theta, y=2+3 sin theta ...

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  3. Find the eccentricity of an ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 whose la...

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  4. A perfectely rough plane is inclined at an angle alpha to the horizont...

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  5. The locus of the point of intersection of the tangents drawn to the el...

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  6. An ellipse of major and minor axes of length sqrt(3) and 1 respectivel...

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  7. A tangent to the ellipse 4x^2 +9y^2 =36 is cut by the tangent at the e...

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  8. Angle between tangents drawn from any point on the circle x^2 +y^2 = (...

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  9. The locus of point intersection of perpendicular tangents of ellipse (...

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  10. If alpha, beta are the eccentric angles of the extermities of a focal ...

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  11. Locus of mid-point of the focal chord of ellipse (x^(2))/(a^(2))+(y^(...

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  12. The locus of foot of perpendicular from focus of ellipse (x^(2))/(a^(2...

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  13. The length of common chord of ellipse ((x-10)^(2))/(100)+((y-21)^(2))/...

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  14. If circumcentre of an equilateral triangle inscribed in x^(2)/a^(2) + ...

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  15. Two perpendicular to S intersect at Q, then |OQ| is equal to (O being ...

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  16. The minimum value of {(r+5 -4|cos theta|)^(2) +(r-3|sin theta|)^(2)} A...

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  17. The locus of focus of ellipse with length of major axis 2a and minor a...

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  18. Tangents at right angle are drawn to the ellipse x^(2)/a^(2)+y^(2)/b^(...

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  19. Find the range of eccentricity of the ellipse x^2/a^2+y^2/b^2=1, (wher...

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  20. An ellipse has the points (1, -1) and (2,-1) as its foci and x + y = 5...

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