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Find the distance between the parallel planes x + y - z + 4 = 0 and x + y - z + 5 = 0 ?

Answer (Detailed Solution Below)

Option 4 :
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Detailed Solution

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CONCEPT:

Distance between two parallel planes ax + by + cz + d1 = 0 and ax + by + cz + d2 = 0 is given by:

CALCULATION:

Here, we have to find the between the parallel planes x + y - z + 4 = 0 and x + y - z + 5 = 0

As we know that, distance between two parallel planes ax + by + cz + d1 = 0 and ax + by + cz + d2 = 0 is given by: 

Here, d1 = 4, d2 = 5, a = 1, b = 1 and c = - 1

So, the distance between the given parallel planes is 

Hence, option D is the correct answer.

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