Any point P that does not lie inside the circle has at least one tangent to the circle.

True

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False

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Solution

The correct option is A
True

True. Any point not inside the circle has to either lie on the circle or outside it. Any point on its circumference has only one tangent while points outside it have 2 tangents to the circle.

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Similar questions

Any point P that does not lie inside the circle has at least one tangent to the circle.

Which of the following statements is not true ?

(a) A tangent to a circle intersects the circle exactly at one point.

(b) The point common to the circle and its tangent is called the point of contact.

(d) A straight line can meet a circle at one point only.

Q. A circle having its centre at (0,0) has a point (3,4) on its boundary. Which of the following points will lie inside the circle?

Q. Which of the following statements is not true?
(a) A line which intersects a circle at two points, is called a secant of the circle.
(b) A line intersecting a circle at one point only is called a tangent to the circle.
(c) The point at which a line touches the circle is called the point of contact.
(d) A tangent to the circle can be drawn from a point inside the circle.

Question 3
State whether the following is true or false.
A pair of tangents can be constructed from a point P to a circle of radius 3.5 cm situated at a distance of 3 cm from the centre.
[Thinking process
Let r = radius of circle and d = distance of a point from the centre.
1. If r = d, then point lie on the circle i.e only one tangent is possible
2. If r < d, then point lie outside the circle. i.e a pair of tangent is possible.
3. If r>d, then point lie inside the circle i.e no tangent is possible.
]

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Any point P that does not lie inside the circle has at least one tangent to the circle.

The correct option is A True True. Any point not inside the circle has to either lie on the circle or outside it. Any point on its circumference has only one tangent while points outside it have 2 tangents to the circle.

The correct option is A
True

True. Any point not inside the circle has to either lie on the circle or outside it. Any point on its circumference has only one tangent while points outside it have 2 tangents to the circle.