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AP EAMCET202420 May 2024Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If 540^ A 630^ and | A|= 5 13 then A 2 A=

Options

  1. A18 5
  2. B8 5
  3. C- 8 5
  4. D- 18 5

Correct answer

D. - 18 5

Step-by-step solution

Given 3 A 7 2 ~A 0 ; A 0 aligned & 3 2 A 2 7 4 ~A 2 0 & 1- ^2 ~A 2 1+ ^2 ~A 2 = -5 13 13-13 ^2 ~A 2 =-5-5 ^2 ~A 2 & 18=8 ^2 ~A 2 ~A 2 = -3 2 aligned aligned & A= -5 13 & A= ^2 A-1 = ( 13 5 )^2-1 = 12 5 & A 2 A= -3 2 12 5 = -18 5 aligned

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