MathematicsIf m−1 m =5;   find the value of m 2 1 m 2  

If m1 m =5;   find the value of m 2 1 m 2  

  1. A
    5 29  
  2. B
    4 28  
  3. C
    16 24  
  4. D
    2 2   

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    Solution:

    By  using the formulal
    (a + 2)2  =(a–2)2 + 4ab
    ⇒ (m + 1 m  )2 =(m– 1 m  )2 +4ab (Here, a = m, b = 1 m  )
    ⇒ (m + 1 m  )2 =25 + 4× m 1 m   m + 1 m    = 29   –(i)
    Now , m2 1 m 2   –(ii) (Given)
    m+ 1 m m 1 m    (using –(i))
    2 9×5  
    5 29  
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