Question
Download Solution PDFWhat is the equation of the line midway between the lines 3x – 4y + 12 = 0 and 3x – 4y = 6?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Distance between two parallel lines ax + by + c1 = 0 and ax + by + c2 = 0 is
Calculation:
We have, 3x – 4y + 12 = 0 and 3x – 4y = 6⇒ 3x – 4y - 6 = 0
∴ Distance between them =
= 18/5
Let, equation of line midway between the given lines 3x - 4y + c = 0
As, it is in the middle, distance from line 3x – 4y + 12 = 0 will be
Now, 9/5 =
⇒ 12 - c = 9
⇒ c = 3
Hence, option (4) is correct.
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