Question

two circles intesect 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 1

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Two circle be C1 and C2

AD is the diameter of C1

And, AC is the diameter of C2

$\red{To \: prove,} \: \: b \: lies \: on \: cd$

construction, Jion AB

In circle C1 ,

since AD is the diameter

arc ABD is a semicircle

so, < ABD = 90°

In circle C2

since AC is the diameter

arc ABC is the semicircle

so, angle ABC = 90°

answer✅

Answer 2

Explanation is in the figure.