If x=y=z, then (x+y+z)²/(x²+y²+z²) is

  1. 3
  2. 1
  3. 4
  4. 2
Monis Rasool Professor Asked on 21st November 2015 in Maths.
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  • 2 Answer(s)

    Answer (1) 3

    sujeetstar24 Newbie Answered on 21st November 2015.
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    Answer: (1) 3

    Explanation:-

    Given-
    x = y = z
    Then, (x + y + z)²/(x² + y² + z²)
    (x + x + x)²/(x² + x² + x²)                                  (x = y = z  Given in the question)
    = (3 x)²/3 x²
    = 9 x² = 3 x²
    = 3

    Then, the value of (x + y + z)²/(x² + y² + z²) is 3.

    Hence, the answer is (1) 3.

    Anurag Mishra Professor Answered on 22nd November 2015.
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