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Construction of a Tangent to a Circle at a Point on the Circle Using the Center

Which of the ...

Question

Which of the following is not true for a point P on the circle?

A

Perpendicular to the tangent passes through the centre

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B

There are 2 tangents to the circle from point P

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C

Only 1 tangent can be drawn from point P

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D

None of these

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Solution

The correct option is B
There are 2 tangents to the circle from point P

Only one tangent can be drawn from a point on the circle and the tangent is always perpendicular to the radius.

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Similar questions

Which of the following is not true for a point P on 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.

Q. Which of the following is not true about a 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.

(c) The tangent at any point of a cricle is perpendicular to the radius of the circle through the point of contact.

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

Which of the following statements is not true ?

(a) A line which intersects a circle in 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.

Assertion-and-Reason Type

Each quation consists of two statements, namely Asserction (A) and Reason (R). For selecting the correct answer, use the following code;

(a) Both Assertion (A) and Reasson (R) are true and Reason (R)

is a correct explanation of Assertion (A).

(b) Bothe Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).

(c) Assertion (A) is true and Reason (R) is false.

(d) Assertion (A) is false and Reason (R) is true.

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Construction of a Tangent to a Circle at a Point on the Circle Using the Center

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