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AP EAMCET202017 Sep 2020Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

( ^2(x)+ ^2 (x+ 3 )+ ^2 (x- 3 )= )

Options

  1. A( 3 2 )
  2. B( 1 2 )
  3. C( -3 2 )
  4. D( -1 2 )

Correct answer

A. ( 3 2 )

Step-by-step solution

( aligned & ^2 x+ ^2 (x+ 3 )+ ^2 (x- 3 ) & 2 x=2 ^2 x-1 & ^2 x= 2 x+1 2 & [ 1+ 2 x 2 ]+ [ 1+ (2 x+ 2 3 ) 2 ] & + [ 1+ (2 x- 2 3 ) 2 ] & 1 2 [1+ 2 x+1+ (2 x+ 2 3 ) . & .+1+ (2 x- 2 3 ) ] & 1 2 [3+ 2 x+ (2 x+ 2 3 ) . & .+ (2 x- 2 3 ) ] & 1 2 [3+ 2 x+2 2 x 2 3 ] & 1 2 [3+ 2 x+2 2 x (- 1 2 ) ] & 1 2 [3+ 2 x- 2 x]= ( 3 2 ) aligned )

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