Question

the range of 'a' so that
${a}^{2} {x}^{2} + 2xy + {4x}^{2} = 0$
represent distinct lines
$a) \: a \frac{1}{2} or a < \frac{ - 1}{2} \\ b) \frac{ - 1}{2} \leqslant a \leqslant \frac{1}{2} \\ c) \frac{ - 1}{2} < a < \frac{1}{2} \\ d)a \geqslant \frac{1}{2} \: or \: a \leqslant \frac{ - 1}{2}$
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Answer 1

Step-by-step explanation:

The range of 'a' so that `a^2x^2 + 2xy + 4y^2 = 0` represents distinct lines