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Find the equation of the circle which is...

Find the equation of the circle which is orthogonal to each of the following three circles.
`x^2 + y^2 + 2x + 17y + 4 = 0 "___" (1)`
`x^2 + y^2 + 7x + 6y + 11 = 0 "(___)" (2)`
and `x^2 + y^2 - x + 22y + 3 = 0 "___"(3)`

A

` x^(2) + y^(2) - 6x- 4y - 44 = 0 `

B

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

C

` x^(2) + y^(2) - 14x - 5y - 34 = 0 `

D

` x^(2) + y^(2) - 5x - 14y - 34 = 0 `

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-SYSTEM OF CIRLES -EXERCISE 1
  1. The equation of the circle which passes the origin and cuts orthogonal...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. (1, 2) is a point on the circle x^2 + y^2 + 2x - 6y + 5 = 0 which is o...

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

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  19. The points A(2, 3) and B(-7, -12) are conjugate points w.r.t to the ci...

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  20. The locus of centres of all circles which touch the line x = 2a and cu...

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