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MHT CET202312 May 2023Morning ShiftMathematicsTrigonometric EquationsActual

If general solution of ^2 -2 + 1 4 =0 is = n A +(-1)^ n B , n Z , then A + B has the value

Options

  1. A7
  2. B6
  3. C1
  4. D-7

Correct answer

A. 7

Step-by-step solution

array ll & ^2 -2 + 1 4 =0 & (1- ^2 )-2 + 1 4 =0 & ^2 +2 - 5 4 =0 & 4 ^2 +8 -5=0 & 4 ^2 +10 -2 -5=0 & 2 (2 +5)-1(2 +5)=0 & (2 -1)(2 +5)=0 & = 1 2 or = -5 2 & But = -5 2 is not possible as sin [-1,1] & for all values of . & = 1 2 & = 6 & = n 1 +(-1)^ n 6 A & A and B=6 & B =7 array

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