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If the value of the determinant  is positive, where a ≠ b ≠ c, then the value of abc
  • a)
    cannot be less than 1
  • b)
    is greater than-8
  • c)
    is less than -8
  • d)
    must be greater than 8
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If the value of the determinantis positive, where a ≠ b ≠ c, the...
=> a(bc-1) - l(c-1)+ 1(1 - b)>0
=> abc-a-c+l + l- b>0
=> abc + 2-(a + b + c)>0
=> abc >(a + b + c)-2
Let; a = -l;b = 0& c = l
Then; 0 > -2 [which is correct]
Hence, abc = 0
After considering all the option; (b) is correct option.
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If the value of the determinantis positive, where a ≠ b ≠ c, then the value of abca)cannot be less than 1b)is greater than-8c)is less than -8d)must be greater than 8Correct answer is option 'B'. Can you explain this answer?
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