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MHT CET202314 May 2023Morning ShiftMathematicsInverse Trigonometric FunctionsActual

If ⁻¹ x+ ⁻¹ y+ ⁻¹ z=3 , then the value of x²⁰²⁵+x²⁰²⁶+x²⁰²⁷ is

Options

  1. A-1
  2. B0
  3. C1
  4. D3

Correct answer

A. -1

Step-by-step solution

aligned & ⁻¹ x+ ⁻¹ y+ ⁻¹ z=3 & Since 0 ⁻¹ x & & 0 ⁻¹ y and 0 ⁻¹ z & & Here, ⁻¹ x= ⁻¹ y= ⁻¹ z= & x=y=z= =-1 & x²⁰⁰⁵+x²⁰²⁶+x²⁰²⁷ & =(-1)²⁰²⁵+(-1)²⁰²⁶+(-1)²⁰²⁷ & =-1+1-1 & =-1 aligned

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