Question
Download Solution PDFFind distance between the parallel lines p(x + y) + q = 0 and p(x + y) - r = 0 ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
The distance between the parallel lines ax + by + c1 = 0 and ax + by + c2 = 0 is given by:
CALCULATION:
Here, we have to find the distance between the parallel lines p(x + y) + q = 0 and p(x + y) - r = 0.
The given equations of line can be re-written as: px + py + q = 0 and px + py - r = 0
By comparing the equations of the given line with ax + by + c1 = 0 and ax + by + c2 = 0 we get
⇒ a = p, b = p, c1 = q and c2 = - r
As we know that, the distance between the parallel lines is given by:
⇒
Hence, option B is the correct answer.
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