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MHT CET202310 May 2023Evening ShiftMathematicsInverse Trigonometric FunctionsActual

If ⁻¹ a+ ⁻¹ b+ ⁻¹ c= , then which of the following statement is true?

Options

  1. Aa+b-c=a b c
  2. Ba+b+c=2 a b c
  3. Ca b c=1
  4. Da+b+c=a b c

Correct answer

D. a+b+c=a b c

Step-by-step solution

aligned & ⁻¹ a+ ⁻¹ b+ ⁻¹ c= & ⁻¹ ( a+b+c-a b c 1-a b-b c-c a )= & a+b+c-a b c 1-a b-b c-c a = =0 & a+b+c-a b c=0 & a+b+c=a b c aligned

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