12th Class
Mathematics
Sample Paper
Maths Olympiad Model Paper-9
question_answer
If the function \[f(x)=\left\{ \begin{matrix} x+{{a}^{2}}\sqrt{2}\sin x, & 0\le x\le \pi /4 \\ x\cot x+b, & \pi /4\le x<\pi /2 \\ b\sin 2x-a\cos 2x, & \pi /2\le x\le \pi \\ \end{matrix} \right.\] is continuous in the interval \[[0,\pi ],\] then the values of (a, b) are