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Find the equation of the circle the end ...

Find the equation of the circle the end points of whose diameter are the centres of the circle : `x^2 + y^2 + 6x - 14y=1` and `x^2 + y^2 - 4x + 10y=2`.

A

`x^(2) + t^(2) + x - 2y +41 = 0 `

B

`x^(2) + y^(2) + x + 2y - 41 = 0 `

C

`x^(2) + y^(2) + x + 2y - 41 = 0`

D

`x^(2) + y^(2) + x - 2y - 41 = 0`

Text Solution

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The correct Answer is:
C
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MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. Radii of circles x^(2) + y^(2) = 1, x^(2) + y^(2) - 2x - 6y= 6 and ...

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

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

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

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

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

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

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

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

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

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

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  12. If equation of a circle is (4a - 3) x^(2) +ay^(2) + 6x - 2y + 2 = 0 ,...

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  13. If the equation 3x^(2) + 3y^(2) + kxy + 9x + (k - 6) y + 3 = 0 rep...

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  14. Equation x^(2) + y^(2) - 8x + 6y + 25 = 0 represents

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  15. If lines 12 x + 5y + 16 = 0 " and " 12 x + 5y - 10 = 0 both touch ...

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  16. Abscissas and ordinates of points A and B are roots of equation x^(...

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  17. Two points on the circle x^(2) + y^(2) - 12x - 16y + 75 = 0 , one ...

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  18. Two circles x^(2) + y^(2) - 2x - 4y = 0 and x^(2) + y^(2) - 8y...

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  19. If circles x^(2) + y^(2) = 9 " and " x^(2) + y^(2) + 2ax + 2y + 1 = ...

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  20. If lines 3x - 4y + 4 = 0 " and " 6x - 8y - 7 = 0 touch the same c...

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