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The equation of the hyperbola whose focu...

The equation of the hyperbola whose focus is origin, eccentricity ` sqrt2` and directrix `x+y+1=0` is

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AAKASH SERIES-HYPERBOLA-Solved Examples
  1. Find the equation of the hyperbola whose foci are (1,2), e=sqrt3 and t...

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  2. Find the eccentricity, foci, length of latusrectum and the equations t...

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  3. The equation of the hyperbola whose focus is origin, eccentricity sqr...

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  4. Find the eccentricity and length of the latus rectum of the hyperbola ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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