2 Parallel Tangents at Most for a Given Secant

Q. In the figure given, a circle is shown with a secant. How many tangents can be drawn parallel to the secant?

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

Q.

In the given figure, XY and X'Y' are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersects XY at A and X'Y' at B. Then $\angle AOB=$ ___

1. ${90}^{\circ }$

2. ${120}^{\circ }$

3. ${45}^{\circ }$

4. ${60}^{\circ }$

Q. In the given figure, if PQ is the diameter, then x is equal to ?

1. ${30}^0$
2. ${45}^0$
3. ${70}^0$
4. ${60}^0$

Q.

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.

1. True

2. False

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

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

Q. In the figure given, a circle is shown with a secant. How many tangents can be drawn parallel to the secant?

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

Q. Question 4
The angle between two tangents to a circle may be $0^{\circ }$.

Q. In the figure given, a circle is shown with a secant. How many tangents can be drawn parallel to the secant?

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

Q.

At any point on a circle, there can be ___ tangent/tangents

1. 1

2. 2

3. 3

4. Infinite

Q.

State true or false.
Maximum number of tangents parallel to a given secant of a circle are four.

1. True

2. False

Q. The maximum number of common tangents drawn to two intersecting circle is

1. $2$
2. $1$
3. $3$
4. $4$

Q. If a secant is drawn to a circle, then under any circumstance, tangents cannot be drawn parallel to the secant.

1. True
2. False

Q.

State true or false.
Maximum number of tangents parallel to a given secant of a circle are four.

1. 2

2. 1

Q.

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

1. 1

2. 2

Q. Question 2 (iii)
Fill in the blanks:
(iii) A circle can have ___ parallel tangents at the most.

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

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

Q. If a secant is drawn to a circle, then under any circumstance, tangents cannot be drawn parallel to the secant.

1. False
2. True

Q.

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

1. True

2. False