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If the two circle x^(2) + y^(2) - 10 ...

If the two circle
`x^(2) + y^(2) - 10 x - 14y + k = 0 `
and ` x^(2) + y^(2) - 4x - 6y + 4 = 0 `
are orthogonal , find k.

A

55

B

56

C

57

D

58

Text Solution

Verified by Experts

The correct Answer is:
D
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MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. If circles x^(2) + y^(2) + 2gx + 2fy + c = 0 and x^(2) + y^(2) + ...

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  2. If circles x^(2) + y^(2) + 2gx + 2fy + e = 0 and x^(2) + y^(2) + ...

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  3. If the two circle x^(2) + y^(2) - 10 x - 14y + k = 0 and x^(2...

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  4. If two circles x^(2) + y^(2) - 2ax + c = =0 and x^(2) + y^(2) - ...

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  5. If the circle x^2 + y^2 = a^2 cuts off a chord of length 2b from the l...

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  6. What is the equation of circle which touches the lines x = 0 , y = 0 ...

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  7. Equation of diameter of circle (x -5) (x - 7) (y -1) = 0 , paral...

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  8. Equations of diameters of circle (x-5)(x-1) + (y - 7) (y-1) = 0 ....

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  9. If circle x (x -1) + y (y -1) = c(x + y -1) touches X-axis , then c...

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  10. Radii of circles x^(2) + y^(2) = 1, x^(2) + y^(2) - 2x - 6y= 6 and ...

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  11. A circle of radius 2 lies in the first quadrant and touches both the a...

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  12. Find the equation of the circle the end points of whose diameter are t...

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  13. The sides of a square are x=2,x=3,y=1andy=2. Find the equation of the ...

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  14. If (2,-1) lies on x^(2) + y^(2) + 2gx + 2fy + c = 0 , which is conc...

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  15. If one end of a diameter of the circle x^2 + y^2 - 8x - 14y+c=0 is the...

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  16. If ends of a diameter of a circle are (-4,3) and (12,-1) , then y-i...

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  17. If abscissas and ordinates of points A , B are roots of equation ...

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  18. Equation of that diameter of circle x^(2) + y^(2) - 6x + 2y - 8 = 0 ...

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  19. Equation of circle , concentric with circle x^(2) + y^(2) - 6x + 12...

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  20. Equation of circle which touches line x = y at the origin , and passe...

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