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The distance between the foci of a hyper...

The distance between the foci of a hyperbola is 16 and ` e = sqrt2` . Its equation is

A

`x^(2) -y^(2) = 32`

B

`y^(2) -x^(2) = 32`

C

`x^(2) - y^(2) = 16`

D

`y^(2) - x^(2) = 16`

Text Solution

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The correct Answer is:
C
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SURA PUBLICATION-TWO DIMENSIONAL ANALYTICAL GEOMETRY - II -ADDITIONAL QUESTIONS ( MCQ)
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  2. The equation of the directrix of the parabola y^(2) + 4y + 4x + 2 =...

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  3. Equation of tangent at (-4,-4) on x^2 = -4y is

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  4. y^(2) -2x -2y + 5 =0 is a

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  5. If a parabolic reflector is 20 cm in diameter and 5 cm deep, then i...

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

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  7. The length of the latus rectum of the ellipse x^(2)/49 + y^(2)/36 = 1...

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  8. If the distance between the foci is 2 and the distance between the dir...

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  9. In are ellispe , the distance between its foci is 6 and its minor axi...

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  10. The equation 7x^(2) - 6sqrt3 xy + 13y^(2) - 4sqrt3 - 4y- 12 =0 repres...

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  11. The distance between the foci of a hyperbola is 16 and e = sqrt2 . It...

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

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  13. When the eccentricity of a ellipse becomes zero , then it becomes a

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  14. The director circle of the ellispe x^(2)/9 + y^(2)/5 = 1

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  15. The auxiliary circle of the ellipse x^(2)/25 + y^(2)/16 = 1

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  16. The length of the diameter of a circle with centre (1,2) and passing t...

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  17. If (1,-3) is the centre of the circle x^(2) + y^(2) +ax + by + 9 =0 ...

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  18. If y = 2x + c is a tangent to the circel x^(2) + y^(2) = 5 , then...

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