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Chords of the hyperbola x^2/a^2-y^2/b^2=...

Chords of the hyperbola `x^2/a^2-y^2/b^2=1` are tangents to the circle drawn on the line joining the foci asdiameter. Find the locus of the point of intersection of tangents at the extremities of the chords.

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The correct Answer is:
`(x^2)/(a^4)+(y^2)/(b^4)=(1)/(a^2+b^2)`
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MOTION-HYPERBOLA-EXERCISE-3
  1. If C is the centre of a hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , S, S its...

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

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

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

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

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

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

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

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  9. 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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  10. Find the locus of the foot of perpendicular from the centre upon any ...

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

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

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

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

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

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

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

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  18. The tangent at P on the hyperbola x^(2)/a^(2)-y^(2)/b^(2)=1 meets one ...

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  19. From any point of the hyperbola x^(2)/a^(2)-y^(2)/b^(2)=1, tangents a...

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  20. If two points P & Q on the hyperbola ,x^2/a^2-y^2/b^2=1 whose centre i...

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