?
Maximum value of (2sinθ + 3cosθ) is?
Answer & Solution
Correct Answer:
Option
B
$$\eqalign{
& \left( {2\sin \theta + 3\cos \theta } \right) \cr
& {\text{Maximum value of}} \cr
& a\sin \theta + b\cos \theta \cr
& = \sqrt {{a^2} + {b^2}} \cr
& = \sqrt {{2^2} + {3^2}} \cr
& = \sqrt {4 + 9} \cr
& = \sqrt {13} \cr} $$
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