If f(x)= | array ccc x & a & b x & a & b x & a & b array | ,where 0 then the equation f ´…
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
If \[f(x)=\left|\begin{array}{ccc}
\sin x & \sin a & \sin b \\
\cos x & \cos a & \cos b \\
\tan x & \tan a & \tan b
\end{array}\right|\],where \(0<\mathrm{a}<\mathrm{b}<\frac{\pi}{2}\),
then the equation f´ (x) = 0 has, in the interval (a, b)
then the equation f´ (x) = 0 has, in the interval (a, b)
- atleast one root
- atmost one root
- no root
- none of these
Answer
(A) atleast one root
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