Solveeit Logo

Question

Question: Function f(x) = \(\frac{\lambda\sin x + 3\cos x}{2\sin x + 6\cos x}\) is increasing when –...

Function f(x) = λsinx+3cosx2sinx+6cosx\frac{\lambda\sin x + 3\cos x}{2\sin x + 6\cos x} is increasing when –

A

l< 1

B

l> 1

C

l< 2

D

l> 2

Answer

l> 1

Explanation

Solution

λ326\left| \begin{matrix} \lambda & 3 \\ 2 & 6 \end{matrix} \right| > 0

̃ 6 l – 6 > 0 ̃ l > 1