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Thriving Scholars TMUA Full Mock Test 1 Paper 2 · Q14

Paper 2Algebra

Four distinct real numbers a,b,ca,b,c, and dd are used to define four points

A=(a,b),B=(b,c),C=(c,d),D=(d,a).A=(a,b),\quad B=(b,c),\quad C=(c,d),\quad D=(d,a).

The quadrilateral ABCDABCD has all four sides the same length

Aif and only if (a−b)2=(c−d)2(a-b)^2=(c-d)^2
Bfor no values of a,b,c,da,b,c,d
Cif and only if (a−d)2=(b−c)2(a-d)^2=(b-c)^2
Dif and only if a−b+c−d=0a-b+c-d=0
Eif and only if (a−c)2=(b−d)2(a-c)^2=(b-d)^2

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