Question

The pair of lines represented by the equations 2x+y+3 =0 and 4x - ky-6=0 will be coincident value of k is

Answer 1

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Answer:

k = 2

Explanation:

Given:

2x+y+3=0

4x+ky+6=0

For a pair of lines to be parallel, the ratio of the respective coefficients and the constant terms must be the same.

$\sf{\frac{2}{4} = \frac{1}{k} = \frac{3}{6} } \\ \\ \sf{ k = \frac{4}{2} } \\ \\ \sf{k = 2}$

hence, the value of k must be 2 in order to have the given pair of lines parallel to each other.