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MHT CET20227 Aug 2022Morning ShiftMathematicsInverse Trigonometric FunctionsActual

With reference to the principal values, if ⁻¹ x+ ⁻¹ y+ ⁻¹ z= 3 2 , then x¹⁰⁰+y¹⁰⁰+z¹⁰⁰=

Options

  1. A2
  2. B3
  3. C1
  4. D6

Correct answer

B. 3

Step-by-step solution

aligned & ⁻¹ x+ ⁻¹ y+ ⁻¹ z= 3 2 = 2 + 2 + 2 = ⁻¹(1)+ ⁻¹(1)+ ⁻¹(1) & x=y=z=1 & x¹⁰⁰+y¹⁰⁰+z¹⁰⁰=1¹⁰⁰+1¹⁰⁰+1¹⁰⁰=3 aligned

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