Question

The pair of lines represented by 2x+y+3=0 and 4x+ky+6=0 will be parelle if value of k is

Answer 1

we know that two lines are parallel

if their slopes are equal.

for equation

a x+ by + c = 0

slope

$= \frac{ - cofiicient \: of \: x}{coficient \: of \:y }$

$= \frac{ - a}{b}$

solution

given two lines

2x+y+3 = 0

AND

4x+ ky+6= 0

these two lines are parallel are if their slopes are equal.

then ,

slope of line 1 = slope of line 2

$- 2 = \frac{ - 4}{k}$

then ,

k = 2

I hope it helps you

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