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AP EAMCET20226 Jul 2022Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

Let R such that 3 (2 )=13-3 e^ 2 , then =

Options

  1. A1 2 3
  2. B1 3 3
  3. C3
  4. D1 2 5

Correct answer

A. 1 2 3

Step-by-step solution

aligned & 3 (2 )=13-3 e^ 2 & 3 ( e^ 2 -e^ -2 2 )=13-3 e^ 2 aligned Let x=e^ 2 aligned & 3 2 (x- 1 x )=13-3 x & 3 x^2-3=2 x(13-3 x) 3 x^2-3=26 x-6 x^2 & 9 x^2-26 x-3=0 9 x^2-27 x+x-3=0 & 9 x(x-3)+1(x-3)=0 (9 x+1)(x-3)=0 & x=3 [ x - 1 9 ] & e^ 2 =3 & 2 = 3 = 1 2 3 aligned

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