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JEE Main2002MathematicsTrigonometric EquationsActual

The number of solution of x+ x=2 x in [0,2 ) is

Options

  1. A2
  2. B3
  3. C0
  4. D1

Correct answer

B. 3

Step-by-step solution

The given equation is x+ x=2 x x+1=2 ^2 x aligned & x+1=2 (1- ^2 x ) 2 ^2 x+ x-1=0 & (2 x-1)( x+1)=0 x= 1 2 ,-1 x=30^ , 150^ , 270^ aligned

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