Multiple choice

Diameter AB of a circle bisects all those chords which are parallel to the tangent at the point A.

  1. True

  2. False
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A Correct answer
Explanation

In a circle, the diameter perpendicular to a chord bisects the chord. If the chord is parallel to the tangent at point A, and AB is the diameter through A, the chord is perpendicular to the diameter AB. Therefore, the diameter bisects the chord.

AI explanation

Because the tangent at point A is perpendicular to diameter AB, any chord parallel to this tangent is also perpendicular to diameter AB (since corresponding angles are 90 degrees). A line drawn from the center of a circle perpendicular to a chord always bisects that chord. Therefore, diameter AB must bisect all such parallel chords.

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