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AP EAMCET20225 Jul 2022Evening ShiftMathematicsTrigonometric EquationsActual

If - = 5 , then +4 =

Options

  1. A5
  2. B5
  3. C5
  4. D5

Correct answer

D. 5

Step-by-step solution

- = 5 aligned & ( - )^2=( 5 )^2 & ^2 + ^2 -2 =5 ^2 & 1-2 =5 ^2 & 1-5 ^2 =2 aligned Now,( +4 )^2= ^2 +16 ^2 +4.2 aligned & = ^2 +16 ^2 + (1-5 ^2 ) & = ^2 +16 ^2 +4-20 ^2 & = ^2 -4 ^2 +4 & = ^2 +4 (1- ^2 ) & = ^2 +4 ^2 & =5 ^2 aligned +4 = 5 ^2 = 5

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