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If  z is a complex number and the minimum value of |z| + |z - 1| + |2z - 3|  is λ and if  then find the value of [x + y].  (where [·] denotes the greatest integer function)
    Correct answer is '30'. Can you explain this answer?
    Verified Answer
    If z is a complex number and the minimum value of |z| + |z - 1| + |2z ...
    ∴ |z| + |z – 1| + |2z – 3| = 



    then  2[x] + 3 = 
    = 3[x – 2]
    ⇒ 2[x] + 3 = 3([x] – 2)
    or  [x] = 9
    then     y = 2·9 + 3 = 21
    ∴ [x + y] = [x + 21] = [x] + 21 = 9 + 21 = 30
    The correct answer is: 30
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    If z is a complex number and the minimum value of |z| + |z - 1| + |2z - 3| isλand ifthen find the value of [x + y]. (where [·] denotes the greatest integer function)Correct answer is '30'. Can you explain this answer?
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