Question : Select the correct option concerning the given statement. Two tangents are drawn at the end of the diameter of a circle.
Option 1: They intersect each other.
Option 2: They pass through the origin.
Option 3: They are parallel to each other.
Option 4: They are perpendicular to each other.
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Correct Answer: They are parallel to each other.
Solution : The correct option concerning the given statement is: 3. They are parallel to each other. This is because two tangents drawn at the ends of the diameter of a circle are always parallel to each other. This is a property of circles in geometry. The reason is that a tangent at any point of a circle is perpendicular to the radius at that point. Since the diameter is a straight line, the two tangents are parallel. Hence, the correct answer is 'They are parallel to each other'.
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Question : Select the INCORRECT statement with respect to the properties of a circle.
Question : Which of the following statements is INCORRECT?
Question : If two circles do not touch or intersect each other and one does not lie inside the other, then find the number of common tangents.
Question : What is the number of common tangents that can be drawn to two circles that touch each other externally?
Question : Two circles each of radius 36 cm are intersecting each other such that each circle passes through the centre of the other circle. What is the length of the common chord to the two circles?
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