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MHT CET20244 May 2024Evening ShiftMathematicsInverse Trigonometric FunctionsActual

If ⁻¹ x+ ⁻¹ y+ ⁻¹ z=3 , then the value of x^2+y^2+z^2-2 x y z is

Options

  1. A3
  2. B2
  3. C1
  4. D5

Correct answer

D. 5

Step-by-step solution

Since, 0 ⁻¹ x ⁻¹ x cannot be greater than ⁻¹ x= ⁻¹ y= ⁻¹ x= Therefore, x=y= z =-1 Putting these values in the given expression, we get aligned & x^2+y^2+z^2-2 x y z & =(-1)^2+(-1)^2+(-1)^2-2(-1)(-1)(-1) & =1+1+1-2(-1) & =3+2 & =5 aligned

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