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If a circle passes through the point (a,b) and cuts the circle ` x^(2) + y^(2) = 4 ` orthogonally , then the locus of its centre is

A

` 2ax + 2by + (a^(2) + b^(2) + 4) = 0 `

B

`2ax- 2by - (a^(2) + b^(2) + 4) = 0 `

C

`2ax - 2by + (a^(2) + b^(2) + 4) = 0 `

D

` 2ax + 2by - (a^(2) + b^(2) + 4) = 0 `

Text Solution

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-SYSTEM OF CIRLES -EXERCISE 1
  1. If the circles of same radius a and centre (2, - 3), (-4, 5) cut ortho...

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  2. Find the equation of the circle which cuts orthogonally the circle x^2...

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  3. If a circle passes through the point (a,b) and cuts the circle x^(2) ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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