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"\\( \\begin{array} { l } { \\text { Questions number } 27 \\text { to } 34 \\text { carry } 3 \\text { marks each. } } \\\\ { \\begin{array} { l l l l } { \\text { Q. } 27 . \\text { In a right angled } \\Delta \\mathrm { ABC } , \\mathrm { AC } \\text { is the hypotenuse and the other two sides are of length } 12 \\mathrm { m } } & { \\text { (s) } \\mathrm { m } } & { \\text { . } } \\\\ { \\text { and } 9 \\mathrm { m } . \\mathrm { X } \\text { is a point outside the triangle such that } \\mathrm { XA } = 36 \\mathrm { m } \\text { and } \\angle \\mathrm { XAC } = 90 ^ { \\circ } \\text { . Find } \\mathrm { XC } . } \\end{array} } \\\\ { } & { \\text { A. } } \\end{array} \\)"

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