Find distance between the parallel lines p(x + y) + q = 0 and p(x + y) - r = 0 ?

Answer (Detailed Solution Below)

Option 2 :
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General Knowledge for All Defence Exams (शूरवीर): Special Live Test
20 Qs. 20 Marks 16 Mins

Detailed Solution

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CONCEPT:

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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