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  • Question
  • If a + b + c = 0, then the value of [(a + b)/c + (b + c)/a + (c + a)/b)] x [a/(b + c) + b/(c + a) + c/(a + b)] is?


  • Options
  • A. 9
  • B. 0
  • C. 8
  • D. -3

  • Correct Answer


  • Explanation

    Since, a + b + c = 0
    Then, a + b = - c .....(i)
    a + c = - b ........(ii)
    b + c = - a ......(iii)
    Now,[(a + b)/c + (b + c)/a + (c + a)/b)] x [a/(b + c) + b/(c + a) + c/(a + b)]

    Now, putting the value of a + b, b + c and c + a from Eqs (i), (ii) and (iii), we get

    Given expression = [(-c)/c + (-a)/a + (-b)/b] [a/-a + b/-b + c/-c]
    [(-1) + (-1) + (-1)] [(-1) + (-1) + (-1)]
    = (-3) x (-3)
    = 9


  • More questions

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      Three number are in the ratio 4 : 5 : 6 and their average is 25. The largest number is?

    • Options
    • A. 42
    • B. 36
    • C. 30
    • D. 32
    • Discuss
    • 2. 
      A card is drawn at random from a pack of 52 cards. A card is drawn at random. What is the probability that it is neither a heart nor a king?

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    • A. 4/13
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    • 3. 
      If three caps are picked at random, what is the probability that two are red and one is green?

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    • A. 9/22
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    • C. 1/6
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    • 4. 
      If three balls are picked at random, what is the probability that atleast one is red?

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    • A. 1/2
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    • 5. 
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    • Options
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    • 6. 
      If two caps are picked at random, what is the probability that both are blue?

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    • 7. 
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    • 8. 
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    • 9. 
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