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If the angle between the asymptotes of h...

If the angle between the asymptotes of hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=1` is `120^0` and the product of perpendiculars drawn from the foci upon its any tangent is 9, then the locus of the point of intersection of perpendicular tangents of the hyperbola can be `x^2+y^2=6` (b) `x^2+y^2=9` `x^2+y^2=3` (d) `x^2+y^2=18`

A

`x^(2)+y^(2)=3`

B

`x^(2)+y^(2)=6`

C

`x^(2)+y^(2)=9`

D

`x^(2)+y^(2)=18`

Text Solution

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The correct Answer is:
D
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ARIHANT MATHS-HYPERBOLA-Exercise (Single Option Correct Type Questions)
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  3. If the angle between the asymptotes of hyperbola (x^2)/(a^2)-(y^2)/(b^...

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

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

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

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

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

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  11. The co-ordinates of the centre of the hyperbola, x^2+3x y+3y^2+2x+3y+2...

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  12. Find the 5^(th) term of the G.P , 1/2 , 1/4 ,1/8 ....

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  13. Locus of the point of intersection of the tangents at the points with ...

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  14. Latusrectum of the conic satisfying the differential equation xdy+ydx=...

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  15. The point of intersection of the curve whose parametrix equations are ...

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  16. If the tangent and normal to a rectangular hyperbola cut off intercept...

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  17. The focus of rectangular hyperbola (x-a)*(y-b)=c^2 is

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  18. The equation of a hyperbola conjugate to the hyperbola x^(2)+3xy+2y^(2...

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  19. If the values of m for which the line y=mx+2sqrt(5) touches the hyperb...

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