Multiple choice

$ax^2+bx+c = 0$ is quadratic equations with real coefficients $a$ , $b$ and $c$.which of the following statement is/are not true ?

  1. If $a = b = c = 0$ then may be no roots are possible.
  2. If $a = b = c = 0$ then it must have infinite number of roots.
  3. if $a$ , $b$ and $c$ are rational then then irrational roots must be in conjugate pairs.
  4. if $a$ , $b$ and $c$ are irrational then irrational roots may be in conjugate pairs.
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A Correct answer
AI explanation

When a, b, and c are all zero, the equation becomes 0 = 0, which is satisfied by all real numbers, meaning it has infinite roots. Thus, the statement that no roots may be possible is false. The question asks to identify the statement that is not true. The first statement is not true.

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