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Q.

Statement 1: The maximum value of sin2x+sinax  cannot be 2 (a is positive rational number)
Statement-2:  2a is irrational
 

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a

Statement1 is False and Statement 2 is True

b

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

c

Statement1 is True and Statement 2 is False

d

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

answer is A.

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Detailed Solution

The value of sin 2x+sinax  can be equal to 2, if   sin2x and  sinax both are equal to 1 
but they are not equal to 1 for any common value of x.

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