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.

True

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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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Similar questions

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.

State true or false.
Maximum number of tangents to a circle which are parallel to a secant can be two.

Maximum number of tangents to a circle which are parallel to a secant can be two.

Q. There cannot be more than two tangents to a circle parallel to a given secant.

Q. Which of the following statements is true?

(a) The tangents drawn at the end points of a chord of a circle are parallel.
(b) From a point P on the exterior of a circle, only two secants can be drawn through P to the circle.
(c) From a point P in the plane of a circle, two tangents can be drawn to the circle.
(d) The perpendicular at the point of contact to the tangent to a circle passes through the centre of the circle.

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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.

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.

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.