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Tangents to the hyperbola (x^(2))/(a^(2)...

Tangents to the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1` make angle `theta_(1), theta_(2)` with transvrse axis of a hyperbola. Show that the points of intersection of these tangents lies on the curve `2xy=k(x^(2)-a^(2))` when `tan theta_(1)+ tan theta_(2)=k`

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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-HYPERBOLA-EXERCISE-5 (a)
  1. Find the equation of the hyperbola, whose asymptotes are the straight ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Show that the equation (x^(2))/(9-c)+(y^(2))/(5-c)=1 represents. A...

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  20. Show that the equation (x^(2))/(9-c)+(y^(2))/(5-c)=1 represents. A...

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