Question

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}
]

# 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

Solution