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Solution


Q.

Assertion (A): The sum of the sine of two acute angles A and B is less than or equal to √2, if A + B = 90° .

Reason (R): The maximum value of the sine function is 1.
1 Both A and R are true, and R is the correct explanation of A.  
2 Both A and R are true, but R is not the correct explanation of A.  
3 A is true, but R is false  
4 A is false, but R is true.  

Ans.

(2)

Both statements are true, but the reason does not correctly explain the assertion. The assertion’s truth relies on the fact that the maximum value of sum of sine of A and B occur when A and B are each 45°