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Question

# Match List - I with List - II and select the correct answer using the code given below the lists:List - I(Function)List - II(Maximum value)A. sinx+cosx1. √10B. 3sinx+4cosx2. √2C. 2sinx+cosx3. 5D. sinx+3cosx4. √5

A
A2,B3,C1,D4
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B
A2,B3,C4,D1
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C
A3,B2,C1,D4
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D
A3,B2,C4,D1
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Solution

## The correct option is C A−2,B−3,C−4,D−1Max value of asinx+bcosx=√a2+b2 For sinx+cosx max value=√2 For 3sinx+4cosxmax value=√32+42=5 For 2sinx+cosxmax value=√22+12=√5 For sinx+3cosx max value=√12+32=√10So correct answer will be option D

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