Class 9 | Chapter 10 | Circles | Example 5

Example 5: Two circles intersect at two points A and B. AD and AC are diameters to the two circles (see Fig.10.34). Prove that B lies on the line segment DC.

Prerequisite

If we prove that DBC is a straight line that would mean DC is a line and B lies on it. To prove that DBC is a straight line, we need to prove that angle DBA and angle CBA is 90 degree each. 

Theorem – Angle in a semicircle is a right angle.

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