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Paragraph Consider the functions, aligned f(x) & = ⁻¹ x- ⁻¹ x g(x) & = ⁻¹ x- cosec ⁻¹ x- 2 & h(x) & =m x aligned On the basis of above informations, answer the following questions. Question If the equation g(x)=h(x) has exactly 2 solutions then the range of m-

Options

  1. A[- , 0)
  2. B(0, ]
  3. C(- ,- ]
  4. D[ , )

Correct answer

A. [- , 0)

Step-by-step solution

aligned & ⁻¹ x- cosec ⁻¹ x- / 2=m x & 2 ⁻¹ x- =m x aligned for exactly two solutions the slope (m) of the line must lie in [ , 0)

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