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Let A(0,1),B(1,1) ,C(1,-1) ,D(-1,0) be f...

Let `A(0,1),B(1,1) ,C(1,-1) ,D(-1,0)` be four points. If P is any other point, then `PA+PB+PC+PDged`, when `[d]` is where `[.]` represents greatest integer.

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Let A(0,1),B(1,1) ,C(1,-1) ,D(-1,0) be four points. If P is any other point, then PA+PB+PC+PDged , where [d] represents greatest integer.

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Knowledge Check

  • Let A=({:(1,1,1),(0,1,1),(0,0,1):}) . Then for positive integer n, A^n is

    A
    `({:(1,n,n^2),(0,n^2,n),(0,0,n):})`
    B
    `({:(1,n,n((n+1)/(2))),(0,1,n),(0,0,1):})`
    C
    `({:(1,n^2,n),(0,n,n^2),(0,0,n^2):})`
    D
    `({:(1,n,2n-1),(0,(n+1)/(2),n^2),(0,0,(n+1)/(2)):})`
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