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If a rectangular hyperbola (x-1)(y-2)=4 ...

If a rectangular hyperbola `(x-1)(y-2)=4` cuts a circle `x^(2)+y^(2)+2gx+2fy+x=0` at points `(3, 4), (5, 3), (2, 6) and (-1, 0)`, then the value of (g+f) is equal to

A

8

B

`-9`

C

`-8`

D

9

Text Solution

Verified by Experts

The correct Answer is:
c
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FIITJEE-HYPERBOLA-SOLVED PROBLEMES (OBJECTIVE)
  1. The tangent at a point P on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 me...

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

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

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  4. The equation (x-alpha)^2+(y-beta)^2=k(lx+my+n)^2 represents

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  5. The angle between the hyperbola xy = c^(2) " and " x^(2) - y^(2) = a^(...

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  6. If (asectheta;btantheta) and (asecphi; btanphi) are the ends of the fo...

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  7. The equation 16x^(2) - 3y^(2) - 32x - 12y - 44 = 0 represents a hyper...

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  8. Locus of mid point of AB is

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  9. If the eccentric angle of point on the hyperbola where the common tang...

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  10. If the eccentric angle of the point of contact of common tangent on th...

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  11. Angle subtended by AB at centre the hyperbola is

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  12. Let xy - 2x - y + 2 = 0 are the asymptotes of a hyperbola H, passing ...

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  13. If four points be taken on a rectangular hyperbola such that the chord...

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  14. Let the normals are drawn (alpha, beta ) to the hyperbola xy = 1 " and...

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  15. Combined equation of pair of tangent to the hyperbola x^(2) - y^(2) = ...

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  16. Let the circle (x - 1)^(2) + (y - 1)^(2) = 25 cuts a rectangular with ...

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  17. A hyperbola has one focus at (1, 2) , its corresponding directrix is x...

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  18. Which of the following is CORRECT combination ?

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  19. Which of the following is CORRECT combination ?

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  20. Which of the following is CORRECT combination ?

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