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The circle x^(2)+y^(2)-8 x=0 and hyperbo...

The circle `x^(2)+y^(2)-8 x=0` and hyperbola `(x^(2))/(9)-(y^(2))/(4)=1` intersect at the points `A` and `B`. The equation of the circle with `A B` as its diameter is

A

`x^(2)+y^(2)-12 x+24=0`

B

`x^(2)+y^(2)+12 x+24=0`

C

`x^(2)+y^(2)+24 x-12=0`

D

`x^(2)+y^(2)-24 x-12=0`

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A
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HIMALAYA PUBLICATION-HYPERBOLA-QUESTION BANK
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  4. If x = 9 is the chord of contact of the hyperbola x^2-y^2=9 , then the...

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  5. If e(1) is the eccentricity of the ellipse (x^(2))/(16)+(y^(2))/(25)=1...

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  6. A hyperbola having the transversal axis of length 2sintheta is confoca...

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  7. For the hyperbola x^2/(cos^2alpha)-y^2/(sin^2alpha)=1 , which of the f...

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  8. An ellipse intersects the hyperbola 2 x^(2)-2 y^(2)=1 orthogonally. Th...

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  9. The equation of the common tangents to the circle x^(2)+y^(2)=2 a^(2) ...

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  10. The circle x^(2)+y^(2)-8 x=0 and hyperbola (x^(2))/(9)-(y^(2))/(4)=1 i...

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  11. The line 3 x+4 y+5=0 is a tangent to the hyperbola x^(2)-4 y^(2)=5 at

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  12. Let P(6,3) be a point on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))...

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  13. If e and e^(prime) be eccentricity of two conics S=0 and S^(prime)=0 a...

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  14. If the line y=2 x+lambda be a tangent to the hyperbola 36 x^(2)-25 y^(...

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  15. The eccentricity of the hyperbola can never be equal to

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  16. The equation of a tangent parallel to y=x drawn to (x^(2))/(3)-(y^(2))...

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  17. The value for m for which the line y=m x+(25)/(sqrt(3)) is a normal to...

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  18. The value of m for which the line y=m x+2 becomes a tangent to the hyp...

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  19. If t is a parameter, then x=a(t+(1)/(t)), y=b(t-(1)/(t)) represents

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  20. The product of the lengths of perpendiculars drawn from any point on t...

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