The pair of lines represented by the equations 2x+y+3=0 and 4x+ky+6=0 will be parallel if value of k is__________.
Answers
Answered by
20
The two lines will be parallel when the value of k = 2.
• Two lines are parallel if their slopes are equal.
• Slope of line = (coefficient of x) / (coefficient of y)
• Slope of 1st line = (-2) / 1
= -2
• Slope of 2nd line = (-4) / k
• According to the question,
the two lines are parallel. Then,
(-2) = (-4) / k
k = 2
Similar questions