Mathematics
Statement 1: The angle between a radius and tangent of a circle is 90°.
Statement 2: At the point of contact the angle between radius and tangent is equal to one right angle.
Which of the following options is correct?
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 tangent line touches the circle at one point. A radius connects the center to the circumference.
The angle between a radius and tangent at the point of contact is always 90°. This is a fundamental property of circles.
So, statement 2 is true.
But, statement 1 is false as not all radius forms angle of 90° with all the tangents.
∴ Statement 1 is false, and statement 2 is true.
Hence, option 4 is the correct option.
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