If the distance between the points (α,0,1) and (0, 1,2) is27, then the value of α is

If the distance between the points (α,0,1) and (0, 1,2) is27, then the value of α is

  1. A

    5

  2. B

    -5

  3. C

    ±5

  4. D

    None of these

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    Solution:

    Given, distance between points (α,0,1 ) and (0, 1, 2) is 27

    (a0)2+(01)2+(12)2=27a2+12+12=27 a2+2=27[ squaring both sides ] a2=25a=±5

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