Match the following: Consider the equation $x^2 + 2(a - 1)x + a + 5 = 0$. Match the real values of $a$ with the conditions on the roots of the given equation.
Column-$I$ Column-$II$
$A$. Imaginary roots $P$. $a \in (-1, 4)$
$B$. One root less than $3$ and other greater than $3$ $Q$. $a \in (-\infty, -1)$
$C$. One root less than $1$ and other greater than $3$ $R$. $a \in (-\infty, -4/3)$

  • A
    $A \to Q, B \to P, C \to R$
  • B
    $A \to P, B \to Q, C \to R$
  • C
    $A \to R, B \to P, C \to Q$
  • D
    $A \to Q, B \to R, C \to P$

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