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The centre of the hyperbola : 9x^2-36x...

The centre of the hyperbola :
`9x^2-36x-16y^2+96y-252=0` is

A

(2,3)

B

(-2,3)

C

(3,2)

D

(3,-2)

Text Solution

Verified by Experts

The correct Answer is:
B
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HIMALAYA PUBLICATION-HYPERBOLA-QUESTION BANK
  1. The equation of the normal to the hyperbola 3 x^(2)-y^(2)=3 at (2,-3) ...

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  2. What does this equation x^2 - 4y^2 - 2x + 16y - 40 =0 represent?

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  3. The centre of the hyperbola : 9x^2-36x-16y^2+96y-252=0 is

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  4. The Asymptotes of the hyperbola 16x^2 - 9y^2 = 144 are

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  5. The eccentricity of the rectangular hyperbola is

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  6. The equation of the tangent to the curve: x^2-y^2-8x+2y+11=0 at (2,1)...

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  7. The value of ' m ' for which y=mx+6 is a tangent to the hyperbola x^2/...

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  8. The equation of the tangent to the hyperbola 4 y^(2)=x^(2)-1 at the po...

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  9. If e and e^(prime) are eccentricities of a hyperbola its conjugate, th...

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  10. The value of K so that y=4x+K may touch the hyperbola (x^(2))/(64)-(y^...

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  11. The eccentricity of the hyperbola 36 x^(2)-25 y^(2)=900 is

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  12. If P is any point on the hyperbola ((x-1)^(2))/(9)-((y+1)^(2))/(16)=1 ...

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  13. The point of intersection of two perpendicular tangents to (x^(2))/(a^...

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  14. The line p=x cos alpha+y sin alpha becomes tangent to (x^(2))/(a^(2))-...

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

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  16. The product of the perpendicular from any poitn P(x,y) on the hyperbol...

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  17. The length of transverse axis of the hyperbola 3x^(2) - 4y^(2) = 32 is

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  18. Which of the statements in the following is false in respect of the co...

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  19. The locus of a point which moves such that the difference of its dista...

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  20. Eccentricity of the hyperbola (x^(2))/(16)-(y^(2))/(25)=1 is

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