So many graphs!

Algebra Level 4

Consider a quadratic expression in \(x\) having real roots \(\alpha_{1}\), \(\alpha_{2}\) such that they both are within the interval \((-(\alpha_{1}+\alpha_{2}),(\alpha_{1}+\alpha_{2}))\), then enter the numbers of the graphs which are plausible for the expression on \(y\)-axis and \(x\) on the \(x\)-axis.

Concatenate the numbers in ascending order. For example, if graphs 1,3 and 2 are plausible, enter 123.

\(\large 1.\)

\(\large 2.\)
\(\large 3.\)
\(\large 4.\)
\(\large 5.\)

If you are looking for more such simple but twisted questions, Twisted problems for JEE aspirants is for you!

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