Q2(ii):

Fill in the blanks : (ii) A line intersecting a circle in two points is called a __________.

Given: A circle and a line that intersects the circle at two distinct points.

To Find: The specific mathematical term used to describe such a line.

Step 1: Analyzing the definition of a line intersecting a circle

In geometry, the relationship between a line and a circle is categorized based on the number of points of intersection:

1. If a line does not touch the circle at all, it is called a non-intersecting line.

2. If a line touches the circle at exactly one point, it is called a tangent.

3. If a line intersects the circle at two distinct points, it is called a secant.

Step 2: Applying the definition

The problem states that the line intersects the circle in two points. By the standard definition in Euclidean geometry, a line that cuts through a circle at two points is defined as a secant line.

Step 3: Conclusion

Since the line passes through the interior of the circle and intersects the circumference at two distinct points, the term that satisfies the condition is "secant".

Final Answer: A line intersecting a circle in two points is called a secant.