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Q.

Statement-I      The sum of opposite angles of a cyclic quadrilateral is 180° .

Statement-II      If a rhombus is cyclic, then it is a square.

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a

Statement I is False, Statement II is True

b

Statement I is True, Statement II is True 

c

Statement I is True, Statement II is False 

d

Statement I is False, Statement II is False 

answer is A.

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Detailed Solution

Statement (I) is true, by concept.

Statement (II) is true

ABCD  is a rhombus

A=C  (opposite angles of rhombus are equal)

 ABCD  is cyclic, A+C=180°

A+A=180°      (A=C)

2A=180°

A=180°2=90°

 A rhombus is in which one angle is a right angle, then it is a square

 ABCD  is square.

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