Write True or False and justify your answer.
If A, B, C and D are four points such that ∠BAC = 45° and ∠BDC = 45°, then A,
B, C, D are concyclic
Write True or False and justify your answer.
If A, B, C, D are four points such that ∠BAC = 30° and ∠BDC = 60°, then D is
the centre of the circle through A, B and C.
Write True or False and justify your answer.
ABCD is a cyclic quadrilateral such that ∠A = 90°, ∠B = 70°, ∠C = 95° and ∠D = 105°
Write True or False and justify your answer.
A circle of radius 3 cm can be drawn through two points A, B such that AB = 6 cm.
Write True or False and justify your answer.
Through three collinear points a circle can be drawn.
Write True or False and justify your answer.
Two congruent circles with centres O and O′ intersect at two points A and B.
Then ∠AOB = ∠AO′B.
Write True or False and justify your answer.
Two chords AB and AC of a circle with centre O are on the opposite sides of OA.
Then ∠OAB = ∠OAC
Write True or False and justify your answer.
Two chords AB and CD of a circle are each at distances 4 cm from the centre. Then AB = CD.
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