For what value of K,the equation k
,
represent parallel lines
Answers
Answered by
7
The answer is given below :
RULE :
The two lines
a1x + b1y + c1 = 0
a2x + b2y + c2 = 0
will represent two parallel lines, if
a1/a2 = b1/b2
SOLUTION :
The given lines are
kx - 3y + 6 = 0
4x - 6y + 15 = 0
These two lines be parallel to each other, if
k/4 = (-3)/(-6)
⇒ k/4 = 1/2
⇒ k = 4/2
⇒ k = 2
Thus, when k = 2, the two given lines be parallel to each other.
Thank you for your question.
RULE :
The two lines
a1x + b1y + c1 = 0
a2x + b2y + c2 = 0
will represent two parallel lines, if
a1/a2 = b1/b2
SOLUTION :
The given lines are
kx - 3y + 6 = 0
4x - 6y + 15 = 0
These two lines be parallel to each other, if
k/4 = (-3)/(-6)
⇒ k/4 = 1/2
⇒ k = 4/2
⇒ k = 2
Thus, when k = 2, the two given lines be parallel to each other.
Thank you for your question.
Answered by
2
Heya!!!
Here's your answer friend,
On comparing above equations we get,
a1 = k, b1 = -3 c1 = 6
a2 = 4, b2 = -6, c = 15
Therefore, condition for Parallel lines,
a1/a2 = b1/b2 ≠ c1/c2
==> k/4 = -3/-6 ≠ 6/15
==> k/4 = 1/2 ≠ 2/5
On Comparing 1st and 2nd we get,
k/4 = 1/2
==> K = 2
Therefore, value of K = 2 for the equations which represents parallel lines.
Hope it helps you : )
Here's your answer friend,
On comparing above equations we get,
a1 = k, b1 = -3 c1 = 6
a2 = 4, b2 = -6, c = 15
Therefore, condition for Parallel lines,
a1/a2 = b1/b2 ≠ c1/c2
==> k/4 = -3/-6 ≠ 6/15
==> k/4 = 1/2 ≠ 2/5
On Comparing 1st and 2nd we get,
k/4 = 1/2
==> K = 2
Therefore, value of K = 2 for the equations which represents parallel lines.
Hope it helps you : )
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