Multiple choice

AB and CD are two chords of a circle intersecting at p inside the circle If PA=1 cm PB =1.6 cm then

  1. PC.PD=1.6 cm

  2. PA.PC=1.6 cm

  3. PB.PD=1.6 cm

  4. PB.PC=1.6 cm

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A Correct answer
AI explanation

When two chords intersect inside a circle, the Intersecting Chords Theorem states that the products of the lengths of their respective segments are equal. This gives the relationship PA times PB equals PC times PD. Substituting the values 1 cm and 1.6 cm gives 1 times 1.6 equals PC times PD, meaning PC times PD equals 1.6 cm.