Two circles intersect at two points A and B. AD and AC are diameters to the two circles (see Fig. 9.21). Prove that B lies on the line segment DC.

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Angle in Semicircle is Right Angle | PadhAiPro

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TextAngle in Semicircle is Right AngleNCERT Textbook

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In the given figure, AOB is the diameter of circle with centre O and P is any point on the circle. Find ∠APB.

If circles are drawn taking two sides of a triangle as diameters, prove that the point of intersection of these circles lie on the third side.

Angle in Semicircle is Right Angle

In Fig.10.5, if AOB is a diameter of the circle and AC = BC, then ∠CAB is equal to:

If AOB is a diameter of a circle and C is a point on the circle, then AC² + BC² = AB².

In Fig.10.15, AOB is a diameter of the circle and C, D, E are any three points on the semi-circle. Find the value of ∠ACD + ∠BED.

The diameter of a circle is AB. Point C is on the circumference. What is the measure of the ∠ACB? Explain your reasoning.