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Question
Four points A(+1,−1,1); B(1,3,1); C(4,3,1) and D(4,−1,1) taken in order are the vertices of :
Four points A(+1,−1,1); B(1,3,1); C(4,3,1) and D(4,−1,1) taken in order are the vertices of :
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Solution
The correct option is B a cyclic quadrilateral.
Let, the sides of ABCD be:AB=→a;BC=→b;CD=→c;DA=→d→a=4^j→b=3^i→c=−4^j→d=−3^i
Clearly, all angles in this quadrilateral are 90 degree.Hence, this is cyclic as sum of opposite angles is 180 degree.
Let, the sides of ABCD be:
AB=→a;BC=→b;CD=→c;DA=→d→a=4^j→b=3^i→c=−4^j→d=−3^i
Clearly, all angles in this quadrilateral are 90 degree.
Hence, this is cyclic as sum of opposite angles is 180 degree.
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