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A circle passes through origin and has i...

A circle passes through origin and has its centre on y = x . If it cuts ` x^(2) + y^(2) - 4x - 6y + 10 = 0 ` orthogonally then the equation of the circle is

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-SYSTEM OF CIRLES -EXERCISE 1
  1. The equation of the circle which cuts orthogonally the three circles ...

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

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

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

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

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

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

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

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

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

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

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  12. (1, 2) is a point on the circle x^2 + y^2 + 2x - 6y + 5 = 0 which is o...

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

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

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

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

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  17. the radical axis of the circles x^(2) + y^(2) + 3x + 4y - 5 = 0 " ...

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  18. The radical axis of the circles x^(2) + y^(2) - 6x - 4y - 44 = 0 " an...

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  19. The equation of the radical axis of the pair of circles 7x^(2) + 7y^(...

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  20. the slope of the radical axis of the circles x^(2) + y^(2) + 3x + 4y ...

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