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Given that x + y + z =15 when a , x , y , z , b are in A.P. and 1 x + 1 y + 1 z = 5 3 when a , x , y , z , b are in H.P. then

Options

  1. AG.M. of a and b is 3
  2. Bone possible value of a+2 b is 11
  3. CA.M. of a and b is 6
  4. Dgreatest value of a - b is 8

Correct answer

D. greatest value of a - b is 8

Step-by-step solution

x+y+z=3 ( a+b 2 ) ; 1 x + 1 y + 1 z = 3 ( 1 a + 1 b ) 2

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