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" 4If "OABC" is a tetrahedron such that "OA^(2)+BC^(2)=OB^(2)+CA^(2)=OC^(2)+AB^(2)" then "

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In the given figure, O is a point in the interior of a DeltaABC, OD bot BC, OE bot AC" and "OF bot AB . Show that : OA^(2)+OB^(2)+OC^(2)-OD^(2)-OE^(2)-OF^(2)= AF^(2)+BD^(2)+CE^(2) .

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OABC is a tetrahedron such that OA=OB=OC=k and each of the edges OA,OB and OC is inclined at an angle theta with the other two the range of theta is