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Find the equation of the circle which cu...

Find the equation of the circle which cuts orthogonally the circle `x^2 + y^2 - 4x + 2y - 7 = 0` and having a center at (2,3).

A

`x^(2) + y^(2) - 4x -6y + 9 = 0 `

B

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

C

`x^(2) + y^(2) + 6x - 4y + 19 = 0 `

D

`3x^(2) + 3y^(2) + 2x + 12y - 2 = 0 `

Text Solution

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-SYSTEM OF CIRLES -EXERCISE 1
  1. If the circles of same radius a and centres (2,3), (5,6) cut orthogona...

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  2. If the circles of same radius a and centre (2, - 3), (-4, 5) cut ortho...

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

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

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

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

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

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

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

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

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

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

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

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

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

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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 circles x^(2) + y...

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

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

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

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