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Find the equation of the tagent to the h...

Find the equation of the tagent to the hyperbola `x^(2)-4y^(2)=36` which is perpendicular to the line `x-y+4=0`.

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The correct Answer is:
`x=ypm3sqrt(3)=0`
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MOTION-HYPERBOLA-EXERCISE-3
  1. Chords of the hyperbola x^2/a^2-y^2/b^2=1 are tangents to the circle d...

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

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

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

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

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

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  7. 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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  8. Find the locus of the foot of perpendicular from the centre upon any ...

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

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

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

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

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

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

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

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

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

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

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  19. The asymptotes of a hyperbola are parallel to lines 2x+3y=0 and 3x+2y=...

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  20. If a hyperbola passing through the origin has 3x-4y-1=0 and 4x-3y-6=0 ...

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