Let \( f:(-\infty,-1] \rightarrow\left(\frac{\pi}{2}, \pi\right] \)... VIDEO
Let \( f:(-\infty,-1] \rightarrow\left(\frac{\pi}{2}, \pi\right] \) be defined as \( f(x)=\sec ^{-1}\left(-x^{2}+x+a\right) \). If \( f(x) \) is surjective,
\( \mathrm{P} \) then the range of \( a \) is :
W
(a) \( \{1\} \)
(b) \( \left\{\frac{-5}{4}\right\} \)
(c) \( \left(-\infty, \frac{-5}{4}\right] \)
(d) \( (-\infty, 1] \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2023-03-21 Let \( f: R \rightarrow[-1,1] \) and \( g: R \rightarrow B \), wher... 2023-03-21 Let, \( f(x)=\left[\begin{array}{ll}\frac{8}{\pi} \tan ^{-1}(-|x|+3... 2023-03-21 Let \( S_{n}=\cot ^{-1}\left(3 x+\frac{2}{x}\right)+\cot ^{-1}\left... 2023-03-21 The number of non zero roots of the equation \( \sqrt{\sin x}=\cos ... 2023-03-21 The value of sum \( \sum_{n=1}^{\infty} \tan ^{-1}\left(\frac{8 n}{... 2023-03-21 If \( f(x)=\left([\{x\}] \tan ^{-1}\left(\frac{x^{2}-3 x-1}{x^{2}-3... 2023-03-21 If range of \( f(x)=\cos ^{-1}\left(x^{2} \cdot \cos 1+\sin 1 \cdot... 2023-03-21 Number of integral values of \( k \) for which the equation \( 4 \c... 2023-03-21 The exhaustive set of values of ' \( a \) ' for which the function ... 2023-03-21 If \( \sin ^{-1}\left(x^{2}-\frac{x^{4}}{3}+\frac{x^{6}}{9}-\ldots ... 2023-03-21 Let \( f:(-\infty,-1] \rightarrow\left(\frac{\pi}{2}, \pi\right] \)... 2023-03-21 Find the largest integral value of ' \( a \) ' for which every solu... 2023-03-21 Find the number of integers in the range of the function
\( \mathrm... 2023-03-21 Let \( f: R \rightarrow\left(-\frac{\pi}{2}, 0\right] \) be a funct... 2023-03-21 Find the number of functions that can be defined from the set \( A=... 2023-03-21 Let \( f(x)=\sqrt{\sin ^{4} x+4 \cos ^{2} x}-\sqrt{\cos ^{4} x+4 \s... 2023-03-21 Find the value of expression \( \left[\frac{18}{35}\right]+\left[\f... 2023-03-21 Let function \( f(x) \) be defined as \( f(x)=x^{2}+b x+c \), where... 2023-03-21 \( f: R \rightarrow R, f(x)=\frac{3 x^{2}+m x+n}{x^{2}+1} \). If th... 2023-03-21 Let the range of the function \( f:\{1,2,3,4,5\} \rightarrow\{1,2,3... 2023-03-21 If \( f(x)=x^{3}+3 x^{2}+4 x+b \sin x+c \cos x \forall x \in R \) i...