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Manipal MET2016MathematicsInverse Trigonometric Functions

If ⁻¹ p+ ⁻¹ q+ ⁻¹ r=3 , then p^2+q^2+r^2+2 p q r is equal to

Options

  1. A3
  2. B1
  3. C2
  4. D-1

Correct answer

B. 1

Step-by-step solution

⁻¹ p+ ⁻¹ q+ ⁻¹ r=3 We know that, if y= ⁻¹ x , then -1 x 1 and 0 y . Hence, the given equation will hold only when each is . p=q=r= =-1 p^2+q^2+r^2+2 p q r aligned & =(-1)^2+(-1)^2+(-1)^2+2(-1)(-1)(-1) & =1+1+1-2=3-2=1 aligned

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