Question

Which of the following statements are true and which are false? In each case give a valid reason for saying so

$q:$ The center of a circle bisects each chord of the circle.

• A. True
• B. False

Answer 1

The correct option is B False

Chord:

A chord of a circle is any line segment joining two points on the circumference of the circle. In the following figure, $AB$ is a chord of the circle drawn:

Since the chord does not have to pass through the center, the given assertion $q$ is False (Only diameters pass through the circle's center).

Hence, the given statement $q$ is False.