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One focus of a hyperbola is located at the point (1,-3) and the corresponding directrix is the line y=2. Find the equation of the hyperbola if its eccentricty is `(3)/(2)`.

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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-HYPERBOLA-EXERCISE-5 (a)
  1. One focus of a hyperbola is located at the point (1,-3) and the corres...

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  2. If the lines 3x-4y=12 and 3x+4y=12 meets on a hyperbola S=0 then find ...

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  3. Find the equation of the hyperbola whose foci are (+-5,0) the transver...

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  4. Find the equation of the hyperbola, whose asymptotes are the straight ...

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  5. If 3x-4y+k=0 is a tangent to x^(2)-4y^(2)=5, find value of k.

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  6. Find the prodcut of lengths from any point on the hyperbola (x^(2))/(1...

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  7. If the eccentricity of a hyperbola is (5)/(4), then find the eccentric...

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  8. Find the equation of the hyperbola whose asymptotes are 3x=+5y and the...

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  9. Find the equation of the normal at theta=(pi)/(3) to the hyperbola 3x^...

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  10. If the angle between the asymptotes is 30^(@) then find its eccentrici...

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  11. Find the centre, foci, eccentricity equation of the directrices, lengt...

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  12. Find the centre, foci, eccentricity equation of the directrices, lengt...

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  13. Find the centre, foci, eccentricity equation of the directrices, lengt...

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  14. Find the centre, foci, eccentricity equation of the directrices, lengt...

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  15. Find the equation of the hyperbola whose foci are (4,2) and (8,2) and ...

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  16. Find the equation of the hyperbola of given length of transvers axis 6...

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  17. Find the equation of the tangents to the hyperbola x^(2)-4y^(2)=4 whic...

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  18. Find the equation of the tangents to the hyperbola x^(2)-4y^(2)=4 whic...

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  19. Find the equation of the tangents drawn to the hyperbola 2x^(2)-3y^(2)...

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  20. Prove that the produt of the perpendicular distacne from any points on...

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