Question

The length chord ------- when it moves towards the centre of the circle.
(a) Remains same
(b) Decreases
(c) Increases
(d) None of these

Answer 1

Hint: In this type of question we have to use the concept of a circle. A circle is a round plane figure whose boundary (the circumference) consists of all points equidistant from a fixed point (the centre). A chord is a straight line segment whose endpoints lie on the circle. A secant is a straight line which cuts the circle at two points which is also called an extended chord. The diameter of a circle is the longest chord of the circle.

Complete step-by-step solution:
Now here we have to fill in the blank by checking the performance of the chord when it moves towards the centre of the circle.
As we know that, a chord of a circle is a straight line segment whose endpoints both lie on the circle. The longest chord of the circle is the diameter of the circle. Hence, the length chord increases when it moves towards the centre of the circle.

Therefore, option (c) is the correct option.

Note: In this type of question students may make mistakes in defining chord and secant. Students have to remember that the chord is a straight line segment whose endpoints lie on the circle while the secant is a straight line which cuts the circle at two points which is also called an extended chord.