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Question

At most two tangents can be drawn parallel to a given secant because there are only two points on a circle through which the lines parallel to the secant are tangents to the circle.


A

True

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B

False

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Solution

The correct option is A

True



As we see in the given figure, tangents at A and B are parallel to the given secant. Any other line parallel to the secant will either cut the circle in two points or not interact with the circle at all.

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