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(a) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1
(b) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1
(c) STATEMENT-1 is True, STATEMENT-2 is False
(d) STATEMENT-1 is False, STATEMENT-2 is True
Statement-1: Let \( m, n \) be two natural numbers such that \( m=a^{2}+b^{2} \) and \( n=c^{2}+d^{2} \) for some \( a \), \( b, c, d \in \mathbf{I} \), then there exist \( e, f \in \mathbf{I} \) such that \( m n \) \( -=e^{2}+f^{2} \)
Statement-2: If \( z_{1}, z_{2} \in \mathbf{C} \), then \( \left|z_{1}+z_{2}\right|=\left|z_{1}\right|+\left|z_{2}\right| \) if and only if \( z_{1} z_{2}0 \).
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