The maximum value of (sin x - cos x) is A and that of (2sinx + 4cosx) is B. The value of (B/A) is (a) 10 (b) 20 (d) 12 (c) 5

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Max. Oalu ob ( P ). ( sin x+operatorname{lcos} x=sqrt{P^{2}+Q^{2}} ) ( therefore quad A=sqrt{1^{2}+1^{2}}=sqrt{2} ) [ B=sqrt{2^{2}+4^{2}}=sqrt{20}= ] [ begin{array}{l}quadleft(frac{B}{A}right)^{2}=frac{20}{2}=10end{array} ]

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