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Find the equation of the hyperbola whose...

Find the equation of the hyperbola whose foci are (1,2), `e=sqrt3` and the directrix is 2x+y=1.

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  12. Tangents to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 make angle...

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  13. The equations of the tangents to the hyperbola 3x^(2) -4y^(2) =12 whi...

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  14. Find the equation of the normal at (1, 0) on the hyperbola x^(2) - 4y...

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  15. Tangents are drawn from (0, 2) to the hyperbola 5x^(2) - y^(2) = 5 . ...

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  16. The chord of the hyperbola x^(2)/a^(2)-y^(2)/b^(2)=1, whose equation i...

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  17. Find the condition for the line x cos alpha + y sin alpha = p to be t...

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  18. Prove that the product of the lengths of the perpendicular drawn from ...

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  19. The point of intersection of the asymptotes with the directrices lie o...

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  20. Write down the equation of the normal at theta = (pi)/(3) to the hyper...

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