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MHT CET20243 May 2024Evening ShiftMathematicsSequences and SeriesActual

If ( ^ - ), and ( + ) are in H.P., then the value of ^2 is

Options

  1. A1-2 ^2 2
  2. B1+2 ^2 2
  3. C1-4 ^2 2
  4. D1+4 ^2 2

Correct answer

A. 1-2 ^2 2

Step-by-step solution

( - ), and ( + ) are in H.P. 1 ( - ) , 1 , 1 ( + ) will be in A.P. aligned & 2 = 1 ( - ) + 1 ( + ) & 2 = ( + )+ ( - ) ( - ) ( + ) aligned aligned & 2 = 2 ^2 - ^2 & ^2 - ^2 = ^2 & ^2 (1- )= ^2 aligned aligned & ^2 (2 ^2 2 )=4 ^2 2 ^2 2 & 1- ^2 =2 ^2 2 & ^2 =1-2 ^2 2 aligned

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