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AP EAMCET202421 May 2024Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

For a R - 0 , if a x+a x+a=2 K+1 has a solution, then K lies in the interval

Options

  1. A[ a-1-a 2 2 , a-1+a 2 2 ]
  2. B[ a+1- 2 2 , a+1+ 2 2 ]
  3. C[ a-1- 2 2 , a-1+ 2 2 ]
  4. D[- 2 a^2+2 a+1 +1 2 , ( 2 a^2+2 a+1 -1 ) 2 ]

Correct answer

A. [ a-1-a 2 2 , a-1+a 2 2 ]

Step-by-step solution

aligned & a x+a x+a=2 K+1 & a [ 2 (x- 4 )+1 ]=2 K+1 & a(1- 2 ) a [ 2 (x- 4 )+1 ] a(1+ 2 ) & a-a 2 2 K+1 a(1+ 2 ) & a-a 2 -1 2 K a+a 2 -1 2 aligned

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