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Distance between Two Parallel Planes

The distance ...

Question

The distance between the planes x + 2y + 3z + 7 = 0 and 2x + 4y + 6z + 7 = 0 is
[MP PET 1991]

A

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B

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C

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D

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Solution

The correct option is A

Required distance $= \frac{7 - \frac{7}{2}}{\sqrt{1 + 4 + 9}} = \frac{\sqrt{7}}{2 \sqrt{2}}$

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Similar questions

Q. The distance between the planes

x + 2 y + 3 z + 7 = 0

2 x + 4 y + 6 z + 7 = 0

Q. The distance (in units) between the parallel planes

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Q. Find the angle between the planes

3 x - 2 y + 6 z - 5 = 0

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