Let | (60- ) (60+ )| 1 8 , [0,2 ] . Then, the sum of all [0,2 ] , where 3 attains its maximum value, is :

Step-by-step solution

We know that ( ) ( ( 6 0 ^ - ) ( (60^ + )= 1 4 3 . . So equation reduces to | 1 4 3 | 1 8 aligned & | 3 | 1 2 & - 1 2 3 1 2 aligned maximum value of 3 = 1 2 , here aligned & 3 =2 n 3 & = 2 n 3 9 aligned As [0,2 ] possible values are = 9 , 5 9 , 7 9 , 11 9 , 13 9 , 17 9 Whose sum is 9 + 5 9 + 7 9 + 11 9 + 13 9 + 17 9 = 54 9 =6