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The locus of the centre of the circle wh...

The locus of the centre of the circle which cuts the circles ` x^(2) + y^(2) + 4x - 6y + 9 = 0 " and " x^(2) + y^(2) - 5x + 4y + 2 = 0 ` orthogonally is

A

`3x + 4y - 5 = 0 `

B

` 9x - 10y + 7 = 0 `

C

`9x + 10y - 7 = 0 `

D

`9x - 10y + 11 = 0 `

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-SYSTEM OF CIRLES -EXERCISE 1
  1. The condition that the circles which passes through the points (0,a),(...

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

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

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  4. (1, 2) is a point on the circle x^2 + y^2 + 2x - 6y + 5 = 0 which is o...

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

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

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

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

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

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

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

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

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  13. Let C(1) -= x^(2) + y^(2) - 2x - 4y = 0 . C(2) = x^(2) + y^(2) + 2x ...

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  14. If the radical axis of two circles with centres A and B bisects AB the...

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  15. The centres of the circles are (a,c) and (b,c) and their radical axis ...

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  16. B and C are two points on the circle x^2+y^2=a^2 point A (b,c) lies ...

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  17. A line l meets the circle x^(2) + y^(2) = 61 in A , B and P(-5,6) i...

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  18. The circles x^(2) + y^(2) = 1 , x^(2) + y^(2) + 6x - 2y = 1 " and " ...

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  19. If the circles x^2 + y^2 + 2ax + cy + a =0 and x^2 + y^2 - 3ax + dy - ...

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

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