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AP EAMCET20225 Jul 2022Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

Let , be two real number such that < ( - ) < 3 . If + = -21 65 and + = -2 65 , then ( - 2 )=

Options

  1. A- 89 26 5
  2. B- 8 26 5
  3. C- 91 26 5
  4. D- 72 26 5

Correct answer

A. - 89 26 5

Step-by-step solution

( + )^2= ( -21 65 )^2 ^2 + ^2 +2 = 441 (65)^2 ...(i) ( + )^2= ( -2 65 )^2 ^2 + ^2 +2 = 4 (65)^2 ...(ii) Eqn. (i) + Eqn. (ii) aligned & 2+2( + )= 445 4225 = 89 845 & 2 ( - )= 89 845 -2=- 1601 845 & ( - )=- 1601 1690 aligned aligned & 2 ^2 ( - 2 )-1= -1601 1690 & 2 ^2 ( - 2 )= 89 1690 & ^2 ( - 2 )= 89 1690 2 & ( - 2 )=- 89 1690 2 aligned aligned & < - < 3 & 2 < - 2 < 3 2 aligned ( - ) is negative aligned & ( - 2 )=- 89 26 5 & ( - 2 )= - 89 26 5 ( = (- )) aligned Note: The correct option according to key is possible i

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