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Find the point on the hyperbola x^2-9y^2...

Find the point on the hyperbola `x^2-9y^2=9` where the line `5x+12 y=9` touches it.

A

`(-5//4,3)`

B

`(5,-4//3)`

C

`(3,-1//2)`

D

none of these

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OBJECTIVE RD SHARMA ENGLISH-HYPERBOLA-Exercise
  1. The points of the intersection of the curves whose parametric equation...

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  2. The equation of the hyperbola whose foci are (6.5), (-4,5) and eccentr...

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  3. Find the point on the hyperbola x^2-9y^2=9 where the line 5x+12 y=9 to...

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  4. The length of the latusrectum of the hyperbola (x^(2))/(a^(2))-(y^(2))...

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  5. P is a point on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1, and N...

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  6. If the tangent at the point (2sec theta,3tan theta) to the hyperbola (...

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  7. The eccentricity of the hyperbola (sqrt(1999))/(3)(x^(2)-y^(2))=1, is

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  8. Tangents are drawn to the hyperbola x^(2)-y^(2)=3 which are parallel ...

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  9. If th tangent at the point (asec alpha, b tanalpha ) to the hyberbola ...

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  10. The equation of the hyperbola of given transverse axis 2a with its ver...

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  11. Find the locus of the midpoints of the chords of the circles x^(2)+y^(...

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  12. If the latus rectum subtends a right angle at the center of the hyp...

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  13. If the latursrectum of a hyperbola through one foucs subtends 60^(@) a...

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  14. If the latus rectum of a hyperbola forms an equilateral triangle with ...

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  15. Let L L ' be the latus rectum through the focus of the hyperbola (x^2)...

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  16. Find the angle between the asymptotes of the hyperbola (x^(2))/(16)-(y...

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  17. Number of integral values of b for which tangent parallel to line y=x+...

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  18. The number of integral points on the hyperbola x^2-y^2= (2000)^2 is (a...

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  19. The relation between Q(3) and P(75) is

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  20. The locus of the centre of a circle which touches two given circles ex...

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