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If xy=lambda^(2)-9 be a rectangular hype...

If `xy=lambda^(2)-9` be a rectangular hyperbola whose branches lie only in the second and fourth quadrant, then

A

`|lambda|ge3`

B

`|lambda|lt3`

C

`lambdainR-{-3, 3}`

D

None of these

Text Solution

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The correct Answer is:
B
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ARIHANT MATHS-HYPERBOLA-Exercise (Single Option Correct Type Questions)
  1. P is any point on the hyperbola x^(2)-y^(2)=a^(2). If F1 and F2 are th...

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  2. If the sum of the slopes of the normal from a point P to the hyperbol...

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  3. If xy=lambda^(2)-9 be a rectangular hyperbola whose branches lie only ...

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  4. If there are two points A and B on rectangular hyperbola xy=c^2 such ...

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  5. A series of hyperbola are drawn having a common transverse axis of len...

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  6. If a rectangular hyperbola (x-1)(y-2)=4 cuts a circle x^(2)+y^(2)+2gx+...

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  7. If p ,q ,r ,s ae rational numbers and the roots of f(x)=0 are eccentri...

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  8. From a point on the line y=x+c, c(parameter), tangents are drawn to th...

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  9. Find the 11^(th) term of the following sequence whose n^(th) term is ...

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  10. The number of points outside the hyperbola x^2/9-y^2/16=1 from where ...

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  11. Let A=(-3, 4) and B=(2, -1) be two fixed points. A point C moves such ...

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  12. A point P is taken on the right half of the hyperbola (x^(2))/(a^(2))-...

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

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  14. If alpha+beta=3pi , then the chord joining the points alpha and beta f...

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  15. If x^2/a^2+y^2/b^2=1(a>b) and x^2-y^2=c^2 cut at right angles, then:

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  16. Find the 15^(th) term of the following sequence whose n^(th) term is ...

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

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  18. The equation of the line passing through the centre of a rectangular h...

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  19. The condition that a straight line with slope m will be normal to para...

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  20. Find the locus of the midpoints of chords of hyperbola 3x^(2)-2y^(2)+4...

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