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MHT CET202310 May 2023Morning ShiftMathematicsTrigonometric EquationsActual

The number of solutions of x+ x=2 x in [0,2 ] are

Options

  1. A6
  2. B4
  3. C3
  4. D2

Correct answer

D. 2

Step-by-step solution

The given equation is defined for x 2 , 3 2 . Now, x+ x=2 x x x + 1 x =2 x ( x+1)=2 ^2 x ( x+1)=2 (1- ^2 x ) ( x+1)=2(1- x)(1+ x) (1+ x)[2(1- x)-1]=0 2(1- x)-1=0 [ array r x -1 otherwise x=0 and x, x will be undefined array ] x= 1 2 x= 6 , 5 6 in (0,2 ) number of solutions =2

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