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Find the centre, eccentricity, foci and directrices of the hyperbola : `16 x^2-9y^2+32 x+36 y-164=0`

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The correct Answer is:
`(-1,2);(4,2)&(-6,2);5x-4=0 & 5x+14=0;(32)/(3);6;8;y-2=0;x+1=0;4x-3y+10=0;4x+3y-2=0`
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MOTION-HYPERBOLA-EXERCISE-3
  1. The hyperbola x^2/a^2 - y^2/a^2 - y^2/b^2 = 1 passes through the point...

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  2. For the hyperbola x^2/100 - y^2/25 = 1. prove that (i)eccentricity = ...

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  3. Find the centre, eccentricity, foci and directrices of the hyperbola :...

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  4. If C is the centre of a hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , S, S its...

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  5. If theta1 and theta2 are the parameters of the extremities of a chord ...

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  6. Chords of the hyperbola x^2/a^2-y^2/b^2=1 are tangents to the circle d...

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  7. Find the locus of the middle points of the normals chords of the recta...

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  8. Find the equation of the tagent to the hyperbola x^(2)-4y^(2)=36 which...

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  9. Tangents are drawn to the hyperbola 3x^2-2y^2=25 from the point (0,5/2...

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  10. nd are inclined at avgicsTangents are drawn from the point (alpha, bet...

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  11. Let 'p' be the perpendicular distance from the centre C of the hyperbo...

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  12. The tangent & normal at a point on x^2/a^2-y^2/b^2=1 cut the y-axis re...

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  13. Find the locus of the foot of perpendicular from the centre upon any ...

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  14. If the normal at a pont P to the hyperbola x^2/a^2 - y^2/b^2 =1 meets ...

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  15. The normla to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 drawn at an extr...

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  16. Find the equations of the tangents to the hyperbola x^2=9y^2=9 that ar...

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  17. An ellipse and a hyperbola have their principal axes along the coor...

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  18. An ellipse has eccentricity 1/2 and one focus at the point P(1/2,1)....

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  19. Prove that the part of the tangent at any point of the hyperbola (x^2)...

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  20. Find the length of the diameter of the ellipse x^(2)/(25)+y^(2)/(9)=1 ...

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