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If e is the eccentricity of the ellipse ...

If e is the eccentricity of the ellipse `x^2/a^2+y^2/b^2 = 1 (a lt b)` , then

A

`b^2 = a^2 (1-e^2)`

B

`a^2 =b^2 (1-e^2)`

C

`a^2 =b^2 (e^2 -1)`

D

`b^2 =a^2 (e^2 -1)`

Text Solution

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The correct Answer is:
A
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OMEGA PUBLICATION-CONIC SECTIONS -Multiple Choice Questions (MCQs)
  1. The locus of a point which moves so that its distance from a fixed po...

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  2. The foci of the ellipse 9x^2 +4y^2 =36 are

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  3. If the latus rectum of an ellipse is one half of its minor-axis, then...

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  4. The eccentricity of the conic 9x^2 +25y^2 =225 is

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  5. The foci of the hyperbola 9x^2 – 16y^2 = 144 are

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  6. If P (x,y) , F1(3,0) and F2 (-3,0) and 16x^2 +25y^2 =400 , then PF1+PF...

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  7. If the major axis of an ellipse is thrice the minor axis, then its ecc...

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  8. The latus rectum of the hyperbola 16x^2 -9y^2=144 is

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  9. The area of a circle centred at (1,2) and passing through (4, 6) is

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  10. The equation of a circle with centre at (1,0) and circumference 10pi ...

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  11. The equation of the circle whose centre is (0, 0) and which passes thr...

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  12. The ends of diameter of a circle are (2, 3) ,(6,5). The centre of the ...

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  13. The centre and radius of the circle x^2+(y-1)^2=2 are

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  14. The eccentricity 'e' of a parabola is

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  15. The equation of the directrix of the parabola x^2=-4ay is

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  16. The length of the latus rectum of the hyperbola x^2/a^2-y^2/b^2=1 is

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  17. If e is the eccentricity of the ellipse x^2/a^2+y^2/b^2 = 1 (a lt b) ,...

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  18. The latus rectum of the ellipse 5x^2+9y^2 = 45 is

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  19. If (x, 4) and (2, 8) are the extremities of a diameter of circle with....

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  20. For the ellipse x^2/1+y^2/4=1 the latus rectum

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