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What is the distance (in units) between ...

What is the distance (in units) between the two planes
`3x+5y+7z=3` and `9x+15y+21z=9` ?

A

0

B

3

C

`6/(83)`

D

6

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • What is the distance between the planes x-2y+z-1=0 and 3x+6y-3z+2=0 ?

    A
    3 unit
    B
    1 unit
    C
    0
    D
    `1/(3sqrt6)`

  • What is the distance between the planes x-2y+z-1=0 and -3x+6y-3z+2=0 ?

    A
    3 units
    B
    1 unit
    C
    0
    D
    None of these

  • the angle between the two planes 3x-6y+2x=7 and 2x+2y-2z=5 is

    A
    `pi/3`
    B
    `pi/6`
    C
    `cos^-1((5sqrt3)/21)`
    D
    `cos^-1((5sqrt3)/7)`

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