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The line 9sqrt(3x)+12y=234 sqrt(3) is a...

The line `9sqrt(3x)+12y=234 sqrt(3)` is a normal to the hyperbola `(x^(2))/(81)-(y^(2))/(36)=1` at the points

A

`18,6sqrt(3)`

B

`9sqrt(2),6`

C

`9sqrt(3),6`

D

`(18)/sqrt(3),(6)/sqrt(3)`

Text Solution

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The correct Answer is:
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MCGROW HILL PUBLICATION-HYPERBOLA-EXERCISE LEVEL 1(SINGLE CORRECT ANSWER TYPE QUESTIONS)
  1. The line 4sqrt(2x)-5y=40 touches the hyperbola (x^(2))/(100)-(y^(2))/...

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  2. The line 9sqrt(3x)+12y=234 sqrt(3) is a normal to the hyperbola (x^(...

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  3. If latus recturn of the ellipse x^2 tan^2 alpha+y^2 sec^2 alpha= 1 is ...

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  4. The angle between the asymptotes of the hyperbola (x^2)/(a^2)-(y^2)/(b...

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  5. Asymptotes of the hyperbola xy=4x+3y are

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  6. The curve described parametrically by x=t^2+t+1 , and y=t^2-t+1 repres...

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  7. The point (at^2,2bt) lies on the hyperbola x^2/a^2-y^2/b ^2= 1 for

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  8. If the coordinates of four concyclic point on the rec­tangular hyperbo...

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  9. The eccentricity of a rectangular hyperbola, is

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  10. If ea n de ' the eccentricities of a hyperbola and its conjugate, p...

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  11. Foci of the rectangular hyperbola are (pm 7) the equation of the hype...

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  12. The is a point P on the hyperbola (x^(2))/(16)-(y^(2))/(6)=1 such that...

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  13. The normal at a point P to the parabola y^(2) = 4x is parallel to the ...

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  14. The difference between the length 2a of the trans­verse axis of a hype...

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  15. The locus of the point of intersection of the tangents to the hyperbol...

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  16. If the asymptotes of the hyperbola perpendicular to the asymptotes of...

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  17. P and Q are two points on the rectangular hyperbola xy = C^(2) such th...

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  18. Normal at (3, 4) to the rectangular hyperbola x y - y - 2 x - 2 = 0 me...

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  19. Find the locus of the-mid points of the chords of the circle x^2 + y^2...

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  20. If the eccentricity of the hyperbola is sqrt(5) and the distance betwe...

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