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The points A(2, 3) and B(-7, -12) are co...

The points A(2, 3) and B(-7, -12) are conjugate points w.r.t to the circle `x^2 + y^2 - 6x - 8y - 1 = 0`. The centre of the circle passing through A and B and orthogonal to given circle is

A

(-5,-9)

B

(-9,-15)

C

`(-5//2.-9//2)`

D

none

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-SYSTEM OF CIRLES -EXERCISE 1
  1. (1, 2) is a point on the circle x^2 + y^2 + 2x - 6y + 5 = 0 which is o...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. The locus of the centre of the circle, which cuts the circle x^(2) + y...

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  19. A circle passes through the points (3,4) and cuts the circle x^(2) + ...

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  20. The equation of the common tangent at the point contact of the circles...

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