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10. Circles
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Q1 of 40 Page 103

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

Given: AXB ≅ CYD.

Since the two arcs of a circle are congruent, then their corresponding arcs are also equal.


So, we have chord AB = chord CD.
Hence. AB : CD = 1:1


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9

If A, B, C and D are four points such that BAC = 45° and BDC = 45°, then A, B, C, D are con cyclic.

10

In Fig. 10.10, if AOB is a diameter and ADC = 120°, then CAB = 30°

2

If the perpendicular bisector of a chord AB of a circle PXAQBY intersects the circle at P and Q, prove that arc PXA ≅ Arc PYB.

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Questions · 40
10. Circles
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