Which of the following statements is not true?
(a) If a point P lies inside a circle, no tangent can be drawn to the circle passing through P.
(b) If a point P lies on a circle, then one and only one tangent can be drawn to the circle at P.
(c) If a point P lies outside a circle, then only two tangents can be drawn to the circle from P.
(d) A circle can have more than two parallel tangents parallel to a given line.

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Solution

(d) A circle can have more than two parallel tangents, parallel to a given line.
This statement is false because there can only be two parallel tangents to the given line in a circle.

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Q. Which of the following statements is not true?
(a) If a point P lies inside a circle, no tangent can be drawn to the circle passing through P.
(b) If a point P lies on a circle, then one and only one tangent can be drawn to the circle at P.
(c) If a point P lies outside a circle, then only two tangents can be drawn to the circle from P.
(d) A circle can have more than two parallel tangents parallel to a given line.

Which of the following stateements is not true ?

(a) If a point P lies inside a circle, no tangent can be drawn to the circle, passing through P.

(b) If a point P lies on the circle, then one and only tangent can eb drawn to the circle at P.

(d) A circle can have more than two parallel tangents, parallel to a given line.

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.

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.

Q. 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.

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(d) A circle can have more than two parallel tangents, parallel to a given line.This statement is false because there can only be two parallel tangents to the given line in a circle.

(d) A circle can have more than two parallel tangents, parallel to a given line.
This statement is false because there can only be two parallel tangents to the given line in a circle.