Consider the following pair of equations:
$2 x + 4 y - 5 = 0$
$p x + q y - 12 = 0$
Find the probability, such that a given pair of equations represent parallel lines, where the value of $p$ and $q$ is decided by rolling a pair of dice simultaneously.

\frac{1}{12}

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\frac{5}{36}

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\frac{1}{7}

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\frac{7}{36}

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Solution

The correct option is A $\frac{1}{12}$

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Consider the following pair of equations: 2x+4y−5=0 px+qy−12=0 Find the probability, such that a given pair of equations represent parallel lines, where the value of p and q is decided by rolling a pair of dice simultaneously.

The correct option is A 112

Consider the following pair of equations:
$2 x + 4 y - 5 = 0$
$p x + q y - 12 = 0$
Find the probability, such that a given pair of equations represent parallel lines, where the value of $p$ and $q$ is decided by rolling a pair of dice simultaneously.

The correct option is A $\frac{1}{12}$