Question

The radii of two concentric circles with centre P are 29 and 25. Chord AB of larger circle intersect the smaller circle circle in points C and D, AB = 42 Find BD​

Answer 1

Answer:

Chord AB of the outer circle cuts the inner circle at C and D.

To prove: AC = BD

Construction: Draw OM = AB

Proof : Since OM⊥AB (by construction)

OM also ⊥ CD (ACDB is a line)

In the outer circle

AM = BM (1) (∵ OM bisects the chord AB)

In the inner circle CM = DM (2) (∵ OM bisects the chord CD)

From (1) and (2), we get

AM - CM = BM - DM

AC = BD

Step-by-step explanation:

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