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If abscissas and ordinates of points A ...

If abscissas and ordinates of points A , B are roots of
equation ` x^(2) - 3x + 2 = 0 " and " y^(2) - 7y + 12 = 0 ` , then
equation of circle with AB as a diameter is

A

`x^(2) + y^(2)- 3x + 7y + 14 = 0`

B

`x^(2) + y^(2) + 3x - 7y + 14 = 0 `

C

`x^(2) + y^(2) + 3x + 7y + 14 = 0 `

D

`x^(2) + y^(2) - 3x - 7y + 14 = 0 `

Text Solution

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The correct Answer is:
D
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MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. If one end of a diameter of the circle x^2 + y^2 - 8x - 14y+c=0 is the...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. If circles x^(2) + y^(2) - 3x + ky - 5 = 0 " and " 4x^(2) + 4y^(2) - ...

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  17. Centre of circle , passing through (0,0) ,(a,0) and (0,b) , is

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  18. If line 2x - y + k = 0 is a diameter of circle x^(2) + y^(2) + 6...

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  19. Determine equation of the circle whose diameter is the chord x + y = 1...

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  20. If (h,k) is the centre of a circle passing through the origin then its...

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