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Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1.Statement-1 is True, Statement-2 is True, Statement-2 is not a correct explanation for Statement-1.Statement-1 is True, Statement-2 is False. Statement-1 is False, Statement-2 is True.

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BSolution :

Clearly, statement-2 is true. <br> To check the truth of statement-1, let us assume that each one of the given equation has real roots. Then, `b^(2) - 4ac gt 0, c^(2) - 4ab ge 0 and a^(2) - 4bc ge 0` <br> `rArr" "b^(2) ge 4ac, c^(2) ge 4ab and a^(2) ge 4bc` <br> `rArr" "a^(2) b^(2) c^(2) ge 64 a^(2) b^(2) c^(2)`, which is not possible. <br> So, our supposition is wrong. Therefore, at least one of the given equations has imaginary roots. <br> Hence, statement-1 is true. <br> Clearly, statement-2 is not a correct explanation for statement-1.