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Question : 45 of 60
Marks:
+1,
-0
Solution:
Given
|| =
|| =
|| =
|| = r (say)
Squaring the given equations, we get
(x2+y2)r2 + 2xy
. =
(x2+y2)r2 + 2xy
. =
(x2+y2)r2 + 2xy
. =
(x2+y2)r2 + 2xy
. ⇒
. =
. =
. =
. ⇒ cos (∠AOB) = cos (∠BOC)
= cos (∠COD) = cos (∠DOA)
Since sum of these four angles is 2Ï€ and all angles are equal, ABCD is a square.
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