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:

Circles Exercise 10.8 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:

Circles Exercise 10.8 Solution

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

Solution:

Circles Exercise 10.8 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:

Circles Exercise 10.8 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:

Circles Exercise 10.8 Solution

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

Solution:

Circles Exercise 10.8 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:

Circles Exercise 10.8 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:

Circles Exercise 10.8 Solution

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

Solution:

Circles Exercise 10.8 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.

Solution:

Circles Exercise 10.8 Solution