A) \[(0,\,\,\pi /2)\]
B) \[(0,\,\pi )\]
C) \[(\pi /4,\pi /2)\]
D) \[(0,\,\,\pi /4)\]
Correct Answer: D
Solution :
As \[(\sin \theta ,\cos \theta )\]and (3, 2) lie on the same side of \[x+y-1=0\], they should be of same sign. \ \[\sin \theta +\cos \theta -1>\]as \[3+2-1>0\] Þ \[\sqrt{2}\sin \left( \theta +\frac{\pi }{4} \right)>1\] Þ \[\sin \left( \theta +\frac{\pi }{4} \right)>\frac{1}{\sqrt{2}}\Rightarrow 0<\theta <\frac{\pi }{4}\].You need to login to perform this action.
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