TS EAMCET · Maths · Functions
If the function \(f:[a, b] \rightarrow\left[-\frac{\sqrt{3}}{4}, \frac{1}{2}\right]\) defined by \[ f(x)=\left|\begin{array}{ccc} 1 & 1 & 1 \ 1 & 1+\sin x & 1 \ 1+\cos x & 1 & 1 \end{array}\right| \] is one-one and onto, then
- A \(a=\frac{-\pi}{4}, b=\frac{\pi}{6}\)
- B \(a=\frac{-\pi}{2}, b=\frac{\pi}{2}\)
- C \(a=\frac{-\pi}{6}, b=\frac{\pi}{4}\)
- D \(a=-\pi, b=\pi\)
Answer & Solution
Correct Answer
(A) \(a=\frac{-\pi}{4}, b=\frac{\pi}{6}\)
Step-by-step Solution
Detailed explanation
We have, \(f:(a, b) \rightarrow\left[\frac{-\sqrt{3}}{4}, \frac{1}{2}\right]\)…
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