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Q.

Select the correct option to fill in the blank given in the statement below.

A line intersects a circle at two distinct points. The distance between these two points must be _________ to the diameter of the circle.

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a

less than

b

less than or equal 

c

more than

d

more than or equal

answer is B.

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Detailed Solution

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  • A line intersects a circle at two distinct points.
  • A line segment joining any two points on a circle is called a chord.
  • The largest chord of a circle is called the diameter. Therefore, a chord of a circle is always less than or equal to the diameter of the circle.
  • Therefore, we can say that a line intersecting two distinct points on a circle must be less than or equal to the diameter of the circle.

Hence, 'less than or equal' is the correct response.

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