A) Both S and R are wrong
B) Both S and R are correct but R is not the correct explanation for S
C) S is correct and R is the correct explanation for S
D) S is correct and R is wrong
Correct Answer: D
Solution :
From the trend of value of \[\sin x\] and \[\cos x\] we know \[\sin x\] and \[\cos x\] decrease in \[\frac{\pi }{2}<x<\pi \]. So, the statement S is correct. The statement R is incorrect which is clear from graph. Clearly \[f(x)\] is differentiable in (a, b). Also,\[a<{{x}_{1}}<{{x}_{2}}<b\]. But \[{f}'({{x}_{1}})=\tan {{\varphi }_{1}}<\tan {{\varphi }_{2}}={f}'({{x}_{2}}).\]You need to login to perform this action.
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