Mathematics
Consider the following two statements.
Statement 1: A line which meets a circle in two points is called a secant of the circle.
Statement 2: All radii of a circle are equal.
Which of the following is valid?
Both the statements are true.
Both the statements are false.
Statement 1 is true, and Statement 2 is false.
Statement 1 is false, and Statement 2 is true.
Circles
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Answer
A secant is defined as a line that intersects a circle at exactly two distinct points.
∴ Statement 1 is true.
A radius is a line segment connecting the center of a circle to any point on its circumference.
By definition, all points on the circumference are equidistant from the center, meaning all radii have the same length.
∴ Statement 2 is true.
∴ Both the statements are true.
Hence, option 1 is correct option.
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Assertion (A): In a circle, equal arcs suspend equal angles at the centre.
Reason (R): In the same circle, equal chords cuts off equal arc.
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