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If tangents be drawn to the circle x^...

If tangents be drawn to the circle ` x^(2) + y^(2) = 12 ` at its point of intersection with the circle
` x^(2) + y^(2) - 2x - 3y = 0 `, the coordinates of their point intersection is

A

(3,2)

B

(-2,3)

C

(2,3)

D

(2,-3)

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-SYSTEM OF CIRLES -EXERCISE 1
  1. (-2,3) is the middle point of chord AB of the circle x^(2) +y^(2) = ...

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  2. The equation of the circle passing through the intersection of the cir...

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  3. If tangents be drawn to the circle x^(2) + y^(2) = 12 at its point...

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  4. The equation of the circle cutting the circle x^(2) + y^(2) + 2x -...

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  5. The condition that the circle x^(2) +y^(2) + 2gx+ 2fy + c = 0 to bisec...

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  6. If the circle x^(2) + y^(2) + 4x -22y + c = 0 bisects the circumfere...

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  7. If the circle x^(2) + y^(2) + 4x - 6y - c = 0 bissects the circumfere...

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  8. The equation of the circle which bisects the circumferences of the ci...

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  9. The equation of the circle passing through the point (1,2) cutting the...

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  10. If the circle S -= x^(2) + y^(2) - 16 = 0 intersects another circle ...

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  11. x = 1 is the radical axis of two rthognally intersecting circles . If ...

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  12. Two circles S and S' intersect at P and Q . A, C lie on S and B , D l...

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  13. The circles x^(2) + y^(2) = 4 cuts the circle x^(2) + y^(2) - 2x - 4...

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  14. The radical centre of the circles x^(2) + y^(2) = 1 , x^(2) + y^(2) -...

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  15. The radical centre of the circles x^(2) + y^(2) +1=0 , x^(2) + y^(2) ...

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  16. The radical centre of the circles x^(2) + y^(2) - x + 3y-3 = 0 , x^...

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  17. The radical centre of the circles x^(2) + y^(2) + a(r)x + b(r)y + c - ...

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  18. If the lengths of tangents drawn to the circles x^(2) + y^(2) -8x ...

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  19. The radical centre of the three circles described on the three sides o...

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  20. If A, B, C are the centres of three circles touching mutually external...

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