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AP EAMCET202420 May 2024Evening ShiftMathematicsVector AlgebraActual

If | f |=10,| g |=14 and | f - g |=15 then | f + g |=

Options

  1. A367
  2. B367
  3. C400
  4. D20

Correct answer

B. 367

Step-by-step solution

| f - g |^2=| f |^2+| g |^2-2 f g , aligned & 225=100+196-2 . f g 2 f g =71 & Now, | f + g |^2=| f |^2+| g |^2+2 f g & =100+196+71=367 | f + g |= 367 aligned

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