Tangent and Secant

Q. The maximum number of common tangents that can be drawn for two external touching circles is/are

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

Q. A part of circumference of a circle is called

1. 
   Radius
2. 
   Segment
3. 
   Arc
4. 
   Sector

Q. In the given figure, $E$ is any point in the interior of the circle with centre $O$. Chord $AB=AC$. If $\angle OBE=20°$, then find the value of $x$.

Q.

The maximum number of common tangents that can be drawn for two external touching circles is/are ___.

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. A cyclic parallelogram is always a

1. 
   Square
2. 
   Rectangle
3. 
   Rhombus
4. 
   Kite

Q.

A tangent is drawn at a point P on a circle. A line through the centre O of a circle of radius 7 cm cuts the tangent at Q such that PQ = 24 cm. Find OQ.

1. 10 cm

2. 15 cm

3. 20 cm

4. 25 cm

Q. Draw different pairs of circles. How many points does each pair have in common? What is the maximum number of common points?

Q.

The maximum number of common tangents that can be drawn for two external touching circles is/are ___.

Q.

The maximum number of common tangents that can be drawn for two external touching circles is/are ___.

Q.

___ is a line that intersects a circle at only one point, and ___ is a line that intersects the circle at two distinct points.

1. Tangent, secant

2. Tangent, tangent

3. Secant, secant

4. Secant, tangent

Q.

A tangent is drawn at a point P on a circle. A line through the centre O of a circle of radius 7 cm cuts the tangent at Q such that PQ = 24 cm. Find OQ.

1. 25 cm

2. 10 cm

3. 15 cm

4. 20 cm

Q.

A tangent is drawn at a point P on a circle. A line through the centre O of a circle of radius 7 cm cuts the tangent at Q such that PQ = 24 cm. Find OQ.

1. 10 cm

2. 20 cm

3. 15 cm

4. 25 cm

Q. Match the following figures on the left with the appropriate parts of the circle on the right.

1. Arc
2. Segment
3. Sector

Q.

What is the approximate circumference of a circle that has a radius of 14 cm?

1. 88 cm

2. 79 cm

3. 113 cm

4. 57 cm

Q.

AB is a line segment in a plane. The circle passing through the point A intersects the extension of AB at only one point other than A.

1. True

2. False

Q. In the given figure, 𝐀𝐁𝐂𝐃 is a parallelogram. 𝐂𝐃 is produced at E such that 𝐀𝐃 = 𝐀𝐄. Prove 𝐀𝐁𝐂𝐄 is a cyclic quadrilateral.
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Q. The region bound by a chord and the arc of the circle is called segment

1. True
2. False

Q. A chord which doesn't pass through the center of circle divides a circle into two .

1. halves
2. sectors
3. segments

Q.

A tangent is a secant with which of the following properties?

1. The points of intersection are infinite distance apart.

2. The secant passes through the centre of the circle.

3. The points of intersection are coinciding points.

4. The secant is a curved line.

Q. Using the jumbled letters, identify the part of the circle which is common in all these images.

1. 
2. 
3. 
4.