10th mathematics exercise questions with answers

# Circles Exercise 10.8 Solution – Class 10

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## Circles Exercise 10.8 – Questions:

### I(A).

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

### (B)

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

## Circles Exercise 10.8 – Solution:

I(A).

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

Solution: 1. Draw two direct common tangents to two congruent circles of radii 3.5 cm and whose distance between them is 3 cm

Solution: 1. Draw two direct common tangent to two externally toucan circles of radii 4.5 cm

Solution: 1. Draw a pair of direct common tangents to two circles of radii 2.5 cm whose centres are at 4 cm apart.

Solution: (B)

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

Solution: 1. Draw a direct common tangent to two internally touching circles of radii 4.5 cm and 2.5 cm

Solution: 1. 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: 1. 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: 1. Draw direct common tangents to two circles of radii 5 cm and 3 cm having their centres 5 cm apart.

Solution: 1. 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.

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