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Consider the family of circles : x^(2)+y^(2)-3x-4y-c_(1)=0, c_(1)inN (i=1,2,3,…,n) Also, let all circles intersects X-axis at integral points only and c_(1)ltc_(2)ltc_(3)ltc_(4)…ltc_(n)A point (x, y) is said to be integral point, if both coordinates x and y are integers.

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