Coordinated Trouble #4

Geometry Level 3

\( Given\quad a\quad triangle\quad having\quad vertices\quad \\ A(2,\frac { 11 }{ 2 } ),\quad B(1,1),\quad C(13,\frac { 2 }{ 3 } ).\\ If\quad X={ AB }^{ 2 }+{ AC }^{ 2 }\quad \& \quad Y={ AD }^{ 2 }+{ DC }^{ 2 }.\\ Find\quad \frac { X }{ Y } ,if\quad D\quad is\quad the\quad midpoint\quad of\quad BC. \)

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