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Q.

Statement –I : The greatest value of the function f(x)=sin2x20cosx+1  is 25.
Statement –II : The minimum value of 74sinx+3cosx+2   is 1.
Which of the above statements are true
 

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a

Only 2

b

Only I 

c

I&II

d

neither I nor II 

answer is B.

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Detailed Solution

I)  f1(x)=2sinxcosx+20sinx   f1(x)=sin(2x)+20sinx  f11(x)=2cos2x+20cosx

for maximum are minimum  f1(x)=0  ,  x=0,x=π  If  x=πf11(π)<0 

II) Minimum of  f(x)=7max.value​ of(4sinx+3cosx+2)

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