The value of $m$ in the pair of equations $4 x + m y + 9 = 0; 3 x + 4 y + 8 = 0$ to have unique solution is

m \neq \frac{16}{3}

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m \neq 15

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m \neq \sqrt{16}

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m \neq \sqrt{15}

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Solution

The correct option is A $m \neq \frac{16}{3}$
$4 x + m y + 9 = 0$
$3 x + 4 y + 8 = 0$
For unique solution
$\frac{4}{3} \neq \frac{m}{4}$
$\Rightarrow 3 m \neq 16$
$\Rightarrow m \neq \frac{16}{3}$

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