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 : In a circle with centre O, AB is the diameter. P and Q are two points on the circle on the same side of the diameter AB. AQ and BP intersect at C. If $\angle {POQ}=54^{\circ}$, then the measure of $\angle {PCA}$ is:
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