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Consider a family of circle passing thor...

Consider a family of circle passing thorugh two fixed points A(3,7) and B(6,5) . Show that the chords in which the circle `x^(2)+y^(2)-4x-6y-3=0`. Cuts the members of the family are concurrent at a point. Find the coordinates of this point.

A

(2, 3)

B

`(2, (23)/(3))`

C

`(3, (23)/(2))`

D

(3, 2)

Text Solution

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The correct Answer is:
B
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