A point \( P(\alpha, \beta) \) is called rational point if both \( \alpha \) and \( \beta \) are...

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A point \( P(\alpha, \beta) \) is called rational point if both \( \alpha \) and \( \beta \) are rational numbers and if both \( \alpha \) and \( \beta \) are integers, then point \( P(\alpha, \beta) \) is called lattice point.

Number of lattice points on the circumference of circle \( x^{2}+y^{2}=25 \) is
(a) 14
(b) 8
(c) 12
(d) 10
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