Question

A: What is a line called, if it meets the circle at only one point?
B: Collection of all points equidistant from a fixed point is _______.
1: Chord
2: Tangent
3: Circle
4: Curve
5: Secant
Which is the correct matching?
(a) A-2; B-4
(b) A-5; B-4
(c) A-4; B-1
(d) A-2; B-3

Answer 1

Hint: In solving this question, we will first find out the term which is called as the line which meets the circle at only one point. After that, we will find out the term which is a collection of all points equidistant from a fixed point. For solving this question, we will use the figures for the reference.

Complete step by step answer:
Let us solve this question.
In this question, we have asked to find the line which meets the circle at only one point. And, also it is asked to find the term which is a collection of all points equidistant from a fixed point.
For the part A:
We will take reference from the below figure

The line BC in the above figure is tangent. So, we can say that a line that meets the circle at only one point is called a tangent.
For part B, we will take reference from the following figure

We can see from the above figure that points on the curve are equidistant from the centre of the curve. This is called a circle.
Hence, answer for part A is tangent and answer for part B will be circle.

So, the correct answer is “Option d”.

Note: For solving this type of question, we should remember the following terms:
Chord: A chord of a circle is a line segment whose endpoints lie on the circle.
Tangent: It is a point which meets the circle at only one point.
Circle: A circle is the collection of all points which are equidistant from a fixed point. The fixed point is called the centre of the circle.
Diameter: It is a chord that passes through the centre of the circle.
Secant: The secant of a circle is defined as a line which intersects the circle at two points.