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The distance between the vertices of a h...

The distance between the vertices of a hyperbola is half the distance between its foci and the length of its semi-conjugate axis is 6. Referred to its axes of coordinates, find the equation of the hyperbola.

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The correct Answer is:
`3x^(2)-y^(2)=36`
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CHHAYA PUBLICATION-HYPERBOLA-SHORT ANSWER TYPE QUESTIONS
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  10. The coordinates of the foci of a hyperbola are (16,0) and (-8,0) and i...

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  11. The centre of a hyperbola is at (2,4), the coordinates of one of its v...

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  12. Find the equation of the hyperbola centre at the origin, transeverse a...

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  13. The lengths of transverse and conjugate axes of a hyperbola are 4 unit...

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  14. e(1) and e(2) are respectively the eccentricites of a hyperbola and it...

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  15. Find the eccentricity of the hyperbola x^(2) - y^(2) = 1. If S, S(1) a...

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  18. The coordinates of the foci of a hyperbola are (0,4) and (0,-4) and th...

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  19. Show that for all values of t the point x = a. (1 + t^(2))/(1-t^(2)), ...

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