Number of Tangents Drawn to a Circle

Q.

A, B & C are three points on a circle. The tangent at C meets BA produced at T. Given that ∠ATC = 36^o & ∠ACT = 48^o, calculate the angle subtended by AB at the center of the circle.

1. 48^o

2. 96^o

3. 36^o

4. 84^o

5. 90^o

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.

1. Both 1 and 2

2. No statement is true

3. Only 1

4. Only 2

Q.

A point O is at a distance of 10 cm from the centre of a circle of radius 6 cm. How many tangents can be drawn from point O to the circle?

1. 0

2. 1

3. 2

4. Infinite

Q.

How many tangents can a circle have?

Q. The number of tangents, that can be drawn to a circle, parallel to a given secant is ______.

1. 0
2. 1
3. 2
4. None of these

Q.

A point O is at a distance of 10 cm from the centre of a circle of radius 6 cm. How many tangents can be drawn from point O to the circle?

1. 1

2. 3

3. 2

4. Infinite

Q. In the given figure, how many tangents can be drawn to the circle from point P and Q separately?

1. two, one
2. infinite, zero
3. zero, two
4. zero, infinite

Q. The number of tangents, that can be drawn to a circle, parallel to a given secant is ______.

1. 0
2. 1
3. 2
4. None of these

Q. Tangents drawn from an external point to a circle are _________________ .

1. parallel
2. equal in length
3. non-intersecting
4. unequal in length

Q. How many tangents can be drawn from a point inside the circle?

1. Infinite
2. 0
3. 2
4. 1

Q. How many tangents can be drawn from a point inside the circle?

1. Infinite
2. 1
3. 2
4. 0

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.

1. Only 1
2. Only 2
3. Both 1 and 2
4. Neither 1 nor 2

Q.

the number of tangents that can be drawn to a circle from an external point is

Q. tangent/tangents can be drawn from a point on the circle.

1. Atmost two
2. Only one
3. Atleast two
4. Infinite

Q. How many tangents can be drawn from a point inside the circle?

1. 0
2. 2
3. Infinite
4. 1

Q. Match the number of tangents that can be drawn from point P to the given circle with centre O.

1. \N
2. 1
3. 2

Q.

If two circles touch each other externally, then they have ____ possible common tangents.

1. 1

2. 2

3. 4

4. 3

Q. How many tangents can be drawn parallel to the given tangent?

1. 0
2. Infinite
3. 1
4. 2

Q. How many tangents can be drawn to a circle from a point outside the circle?

1. 1
2. 0
3. 2
4. 3

Q.

The number of tangents that can be drawn from a point inside the circle is/are ____.

1. one
2. zero
3. two
4. four

Q.

How many tangents can be drawn to a circle through the points A, B and C as shown?

1. 0, 1, 2

2. 2, 1, 0

3. 1, 0, 2

4. 2, 0, 1

Q. The number of tangents that can be drawn from a point outside the circle is 1.

1. False
2. True