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AP EAMCET201922 Apr 2019Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If (y= _e ( 4 + x 2 ) ), then ( ( y 2 )= )

Options

  1. A( ( x 2 ) )
  2. B( x )
  3. C( h x )
  4. D( ( x 2 ) )

Correct answer

D. ( ( x 2 ) )

Step-by-step solution

Given, (y= _e ( 4 + x 2 ) ) ( aligned & = _e ( ( 4 )+ x 2 1- ( 4 ) ( x 2 ) )= _e ( 1+ x 2 1- x 2 ) & e^y= 1+ x 2 1- x 2 e^y+1 e^y-1 = 2 2 x 2 & e^y-1 e^y+1 = x 2 h ( y 2 )= ( x 2 ) aligned )

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