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Find the eccentricity foci, equation of the directrices and length of the latusrectum of the hyperbola `x^(3) - 4y^(2) = 4`

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The equation of the latusrectum of the hyperbola 3y^(2)-4x^(2)=12 are

AAKASH SERIES-HYPERBOLA-Solved Examples
  1. Find the eccentricity and length of the latus rectum of the hyperbola ...

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  2. Find the foci of the hyperbola 9x^(2) - 16y^(2) + 72 x - 32 y - 16 = 0

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  3. Find the eccentricity foci, equation of the directrices and length of ...

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  4. (i) Show that equation (x^(2))/(9 - c) + (y^(2))/(5 - c) = 1 represent...

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  5. The foci of a hyperola coincide with the foci of the ellipse x^(2)/(25...

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  6. Find the equations of the tangents to the hyperbola x^(2) - 4y^(2) = 4...

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

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

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

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

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

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

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

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

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

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  16. Prove that the product of the perpendicular from any point on the hype...

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  17. If the normal at theta on the hyperola x^(2)/a^(2)-y^(2)/b^(2)=1 meets...

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  18. If a circle cuts the rectangular hyperbola xy = 1 in the points (x(r),...

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  19. Find the equation of the chord joining two points (x(1), y(1))and (x(2...

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  20. The eccentricity of the hyperbola with asymptotes 3x+4y=2 and 4x-3y=2 ...

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