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The equation $(a + 2) x^{2} + (a - 3) x - (2 a - 1) = 0$ has rational roots for

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$for a \in (- 2, \infty)$

$a \in Q$

$a \in R - {- 2}$

$a \in Q - {- 2}$

answer is B.

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Detailed Solution

$\begin{array}{l} D = (a - 3)^{2} + 4 (2 a - 1) (a + 2) \\ = 9 a^{2} + 6 a + 1 = (3 a + 1)^{2} \\ \Rightarrow Roots are rational if a \in Q - {- 2} \end{array}$

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