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JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Analyzing +4 | -1
If roots of the equation ax2+bx+c=0;(a,b,c∈N)a{x^2} + bx + c = 0;\left( {a,b,c \in N} \right) are rational numbers, then which of the following cannot be true?
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Correct option: B
All a,ba,b and cc are odd
Option B (All a,ba,b and cc are odd) cannot be true because it leads to a contradiction when considering the discriminant and the nature of rational roots.

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