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MHT CET202122 Sep 2021Evening ShiftMathematicsInverse Trigonometric FunctionsActual

If 2 ⁻¹( x)= ⁻¹(2 cosec x) , then the value of x is

Options

  1. A^c 6
  2. B^c 4
  3. C^c 3
  4. D^ 12

Correct answer

B. ^c 4

Step-by-step solution

We have 2 ⁻¹( x)= ⁻¹(2 cosec x) aligned & ⁻¹ ( 2 x 1- ^2 x )= ⁻¹ ( 2 x ) & 2 x ^2 x = 2 x x x= ^2 x & x( x- x)=0 x=0 or x=1 & x=0 or x= 4 aligned

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