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AP EAMCET2010MathematicsInverse Trigonometric Functions

If ⁻¹ x+ ⁻¹ y+ ⁻¹ z= 2 then 1-x y-y z-z x is equal to

Options

  1. A1
  2. B0
  3. C-1
  4. D2

Correct answer

B. 0

Step-by-step solution

⁻¹ x+ ⁻¹ y+ ⁻¹ z= 2 ( ⁻¹ x+ ⁻¹ y )+ ⁻¹ z= 2 ⁻¹ ( x+y 1-x y )+ ⁻¹ z= 2 ⁻¹ [ (x+y) 1-x y +z 1-z ( x+y 1-x y ) ]= 2 (x+y)+z(1-x y) (1-x y)-z(x+y) = 2 = ie, (1-x y)-z(x+y)=0 1-x y-z x-y z=0

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