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two circles intersect at two points A and B . AD and AC are diameters to the two circles . prove that B lies on the line segment DC

Answer»

Given that two circles intersect at two points A and B. AD and AC are diameters to the two circles.Join AB.

∠ABD = 90° (Angle in a semicircle)∠ABC = 90° (Angle in a semicircle)

So, ∠ ABD + ∠ ABC = 90° + 90° = 180°

Therefore, DBC is a line. That is B lies on the line segment DC.

180 is correct and best answer 👍 👍👍 👍👍 👍



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