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Circles

If arcs AXB and CYD of a circle are congruent, find the ratio of AB and CD.

06/11/2024

Mathematics

9th

Circles

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

06/11/2024

Mathematics

9th

Circles

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.

06/11/2024

Mathematics

9th

Circles

Write True or False and justify your answer.

ABCD is a cyclic quadrilateral such that ∠A = 90°, ∠B = 70°, ∠C = 95° and ∠D = 105°

06/11/2024

Mathematics

9th

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.

06/11/2024

Mathematics

9th

Circles

Write True or False and justify your answer.

Through three collinear points a circle can be drawn.

06/11/2024

Mathematics

9th

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.

06/11/2024

Mathematics

9th

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

06/11/2024

Mathematics

9th

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.

06/11/2024

Mathematics

9th

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.

06/11/2024

Mathematics

9th