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Q.

Statement 1 : The minimum value of  27cos  2x  81sin  2x is 1243 .
Statement 2: The minimum value of acosθ+bsinθ  is  a2+b2
 

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a

Both the statements are True and Statement 2 is the correct explanation of Statement 1

b

Both the statements are Truebut Statement 2 is not the correct explanation of Statement1 

c

Statement1 is True and Statement 2 is False

d

Statement1 is False and Statement 2 is True

answer is A.

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Detailed Solution

Let  Question Image
Now  32+423cos2x+4sin2x32+42
Or  53cos2x+4sin2x5
 3533cos2x+4sin2x35
Hence correct answer is a

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