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If the foci of the ellipse (x^(2))/(16)+...

 If the foci of the ellipse `(x^(2))/(16)+(y^(2))/(b^(2))=1` and the hyperbola `(x^(2))/(144)-(y^(2))/(81)=(1)/(25)`coincide then the value of `b^(2)`is

A

1

B

5

C

7

D

9

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The correct Answer is:
C
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HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
  1. The radius of the circle passing through the foci of the ellipse (x^(2...

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  2. The equation to the ellipse whose foci are (pm2,0) and eccentricity (1...

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  3. If the foci of the ellipse (x^(2))/(16)+(y^(2))/(b^(2))=1 and the hype...

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  4. The eccentricity of an ellipse, with its centre at origin is (1)/(2) t...

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  5. Area of the greatest rectangle that can be inscribed in the ellipse (x...

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  6. An ellipse has O B as semi minor axis, F and F^(prime) its foci and th...

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  7. A circle touches the x - axis and also touches the circle with centre ...

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  8. A circle touches the x - axis and also touches the circle with centre ...

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  9. In an ellipse the distance between the foci is 6 and minor axis is 8 ....

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  10. If P=(x, y), F(1)=(3,0), F(2)=(-3,0) and 16 x^(2)+25 y^(2)=400 then P ...

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  11. If tangents are drawn to the ellipse x^(2)+2 y^(2)=2 then the locus of...

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  12. The area of the quadrilateral formed by the tangents at the end points...

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  13. A tangent is drawn at the point (3 sqrt(3) cos theta, sin theta) for 0...

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  14. The graph represented by the equations x=sin ^(2) t y=2 cos t is

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  15. The centre of the ellipse ((x+y-2)^(2))/(9)+((x-y)^(2))/(16)=1 is

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  16. If (x)/(a)+(y)/(b)=sqrt(2) touches the ellipse (x^(2))/(a^(2))+(y^(2))...

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  17. The eccentricity of the ellipse 9 x^(2)+5 y^(2)-30 y=0 is

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  18. If the major axis of an ellipse is 3 times its minor axis its ecentric...

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  19. A circle described with minor axis of an ellipse as a diameter. If the...

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  20. The equation of the ellipse whose one focus is at (4,0) and whose ecce...

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