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If is the harmonic mean of and , and is the arithmetic mean of and , then which of the following is/are correct? 1. 2 ( + 4 ) = 2 2. 2 = ( - 4 ) Select the correct answer using the code given below:

Options

  1. A1 only
  2. B2 only
  3. CBoth 1 and 2
  4. DNeither 1 nor 2

Correct answer

C. Both 1 and 2

Step-by-step solution

From question, , and are in H.P. then, = 2 + and , and are in A.P. then, 2 = + Statement 1: 2 ( + 4 ) aligned & =( + ) 2 + & =2 = 2 aligned Statement 2: ( - 4 )= 1 2 ( + )= 2 2 = 2

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