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Circles

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.

Circles

Write True or False and justify your answer.

Through three collinear points a circle can be drawn.

Circles

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.

Circles

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

Circles

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.

Circles

Two chords of a circle of lengths 10 cm and 8 cm are at the distances 8.0 cm and 3.5 cm, respectively from the centre.

Circles

The angles subtended by a chord at any two points of a circle are equal.

Circles

ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and ∠ADC = 140º, then ∠BAC is equal to:

(A) 80º (B) 50º (C) 40º (D) 30º

Circles

If AB = 12 cm, BC = 16 cm and AB is perpendicular to BC, then the radius of the circle passing through the points A, B and C is :
(A) 6 cm (B) 8 cm
(C) 10 cm (D) 12 cm

Circles

AD is a diameter of a circle and AB is a chord. If AD = 34 cm, AB = 30 cm, the
distance of AB from the centre of the circle is :
(A) 17 cm (B) 15 cm (C) 4 cm (D) 8 cm