## Empty set:

A set with no elements is called empty

set. It is called null set and is denoted by {}

Skip to content# Empty set – E – BreathMath’s math glossary

## Empty set:

# Discount – D – breathmath’s math glossary

## Discount

# Decagon – D – Breathmath’s Math Glossary

### Decagon:

# Decimal – D – Breathmath’s Math Glossary

### Decimal Definition:

# Denominator – D – Breathmath’s Math Glossary

### Denominator:

# Diagonal – D – Breathamth’s Math Glossary

### Diagonal:

# Diagonal Matrix – D – Breathmath’s Math Glossary

### Diagonal Matrix:

# Distributive Property – D – Breathmath’s Math Glossary

### Distributive Property

# Diameter – D – Breathmath’s Math Glossary

### Diameter:

### Diameter of the Circle:

# Circles Exercise 10.8 Solution – Class 10

## Circles Exercise 10.8 – Questions:

### I(A).

### (B)

**Circles Exercise 10.8 – Solution:**

Mathematics! Mathematics! Mathematics! All you just have to do is studying here!

A set with no elements is called empty

set. It is called null set and is denoted by {}

The difference between the issue price of a stock and its nominal value when the issue price is less than the nominal value.

A ten sided polygon is called Decagon.

A fractional number less than one whole written with a decimal point or numbers written after the decimal point.

The denominator is the bottom number of a fraction.

**The denominator represents the total number of parts i.e.,**

A line segment joining two non-adjacent vertices of a polygon.

Ex: A square has two diagonals.

Here in square ABCD, AC and BD are its diagonals.

Similarly, a hexagon has 3 diagonals.

A matrix having non-zero elements only in the diagonal running from the upper left to the lower right.

The **Distributive Property** is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.

A straight line passing from side to side through the centre of a body or figure, especially a circle or sphere.

Any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.

Diameter is the longest chord of the circle. Diameter is the twice of the radius of the circle.

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- Draw two congruent circles of radii 3 cm, having their centres 10 cm apart, Draw a direct common tangent
- Draw two direct common tangents to two congruent circles of radii 3.5 cm and whose distance between them is 3 cm
- Draw two direct common tangent to two externally toucan circles of radii 4.5 cm
- Draw a pair of direct common tangents to two circles of radii 2.5 cm whose centres are at 4 cm apart.

- Construct a direct common tangent to two circles of radii 5 cm and 2 cm whose centres are 3 cm apart.
- Draw a direct common tangent to two internally touching circles of radii 4.5 cm and 2.5 cm
- Construct a direct common tangent to two internally touching circles of radii 4cm and 2 cm whose centres are 8 cm apart. Measure and verify the length of the tangent.
- Two circles of radii 5.5 cm and 3.5 cm touch each other externally. Draw a direct common tangent and measure its length.
- Draw direct common tangents to two circles of radii 5 cm and 3 cm having their centres 5 cm apart.
- Two circles of radii 6 cm and 3 cm at a distance of 1 cm, Draw a direct common tangent, measure and verify its length.

**I(A). **

**Draw two congruent circles of radii 3 cm, having their centres 10 cm apart, Draw a direct common tangent**

Solution:

**Draw two direct common tangents to two congruent circles of radii 3.5 cm and whose distance between them is 3 cm**

Solution:

**Draw two direct common tangent to two externally toucan circles of radii 4.5 cm**

Solution:

**Draw a pair of direct common tangents to two circles of radii 2.5 cm whose centres are at 4 cm apart.**

Solution:

** (B) **

**Construct a direct common tangent to two circles of radii 5 cm and 2 cm whose centres are 3 cm apart.**

Solution:

**Draw a direct common tangent to two internally touching circles of radii 4.5 cm and 2.5 cm**

Solution:

**Construct a direct common tangent to two internally touching circles of radii 4cm and 2 cm whose centres are 8 cm apart. Measure and verify the length of the tangent.**

Solution:

**Two circles of radii 5.5 cm and 3.5 cm touch each other externally. Draw a direct common tangent and measure its length.**

Solution:

**Draw direct common tangents to two circles of radii 5 cm and 3 cm having their centres 5 cm apart.**

Solution:

**Two circles of radii 6 cm and 3 cm at a distance of 1 cm, Draw a direct common tangent, measure and verify its length.**

Solution: