Mathematics
Statement I: If r is the radius of a circle and l is the length of any chord then 0 ≤ l ≤ 2r.
Statement II: A chord is formed by joining any two points on a circle.
Statement I is true but statement II is false.
Statement I is false but statement II is true.
Both Statement I and statement II are true.
Both Statement I and statement II are false.
Geometrical Concepts
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Answer
Both Statement I and Statement II are true.
Explanation
A chord is a line segment joining any two points of a circle. So, Statement II is true.
The longest possible chord of a circle is its diameter, whose length is 2r (twice the radius). The length l of any chord cannot be negative and cannot exceed the diameter, so it must satisfy 0 ≤ l ≤ 2r. So, Statement I is also true.
Hence, option 3 is the correct option.
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