Question

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Answer 1

Step-by-step explanation:

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Answer 2

Answer:-

The Pair of linear equations represents parallel lines if:

$\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} ≠ \frac{c_{1}}{c_{2}}$

For the given pair of equation

$4x + y - 1 = 0 \textbf{ \: and \: } 2x + ky - 7 = 0$

$⇒ \frac{a_{1}}{a_{2}} = \frac{4}{2} = 2$

$⇒ \frac{b_{1}}{c_{1}} = \frac{6}{k}$

$⇒ \frac{c_{1}}{a_{2}} = \frac{ - 1}{ - 7} = \frac{1}{7}$

$\textbf{for} \: \frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} →k = 3$

The Pair of Linear equations represents parallel lines for k = 3

• Hence Correct✅ option is (a)k = 3

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