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Question
Which of the following statements are true?
1) No tangents can be drawn to a circle from an interior point.
2) Only two tangents, at most, can be drawn to a circle from an exterior point.
1) No tangents can be drawn to a circle from an interior point.
2) Only two tangents, at most, can be drawn to a circle from an exterior point.
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Solution
The correct option is A Both 1 and 2
An interior point is a point that lies inside the circle. Since a tangent has to touch the circle at only one point no matter how long it is extended on either side, a tangent is not possible from an interior point; as any line through an interior point will cut the circle in two distinct points.
An exterior point is a point that lies outside the circle. A maximum of two tangents can be drawn from an exterior point to a circle.
An interior point is a point that lies inside the circle. Since a tangent has to touch the circle at only one point no matter how long it is extended on either side, a tangent is not possible from an interior point; as any line through an interior point will cut the circle in two distinct points.
An exterior point is a point that lies outside the circle. A maximum of two tangents can be drawn from an exterior point to a circle.
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