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The equation of the circle which passes the origin and cuts orthogonally each of the circles ` x^(2) + y^(2) - 6x + 8 = 0 " and " x^(2) + y^(2) - 2x - 2y = 7 ` is

A

` 3x^(2) + 3y^(2) - 8x - 13y = 0 `

B

`3x^(2) + 3y^(2) + 2x - 6y - 6 = 0 `

C

` 3x^(2) + 3y^(2) + 8x - 29 - y = 0 `

D

`3x^(2) + 3y^(2) +8x +29y = 0 `

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-SYSTEM OF CIRLES -EXERCISE 1
  1. If a circle passes through the point (a,b) and cuts the circle x^(2) ...

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  2. The equation of the circle passing through (0,0) and cutting orthogona...

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  3. The equation of the circle which passes the origin and cuts orthogonal...

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  4. The equation of the circle cutting orthogonally the circles x^(2) + ...

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  5. Find the equation of the circle which is orthogonal to each of the fol...

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  6. The equation of the circle which cuts orthogonally the three circles ...

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  7. A circle S cuts three circles x^(2) + y^(2) - 4x - 2y + 4 = 0 , x^(2...

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  8. The equation of the circle which cuts orthogonally the three circles ...

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  9. The circles orthogonal to the three circles x^(2) + y^(2) + a(i)x + b...

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  10. A circle passes through origin and has its centre on y = x . If it cut...

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  11. Find the equation of the circle passing through the origin, having its...

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  12. The circle with centre on the line 2x - 2y + 9 = 0 and cutting the c...

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  13. The equation of the circle cutting orthogonally the circles x^(2) + y...

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  14. The equation of the circle cutting orthogonally the circles x^(2) + y...

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  15. The equation of the circle cutting orthogonally the circule x^(2) + y...

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  16. The condition that the circles which passes through the points (0,a),(...

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  17. The locus of the centre of the circle which cuts the circles x^(2) + ...

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  18. The locus of the centre of the circle which cuts the circles x^(2) + ...

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  19. (1, 2) is a point on the circle x^2 + y^2 + 2x - 6y + 5 = 0 which is o...

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  20. The point (3,1) is a point on a circle C with centre (2,3) and C is or...

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