Q. 15.0( 7 Votes )

# In each of the two pictures below, a triangle is formed by a tangent to a circle, the radius though the point of contact and a line through the centre:

Draw these in your note book.

Answer :

Part 1:

**Steps of constructions:**

1. Draw a circle of radius 2.5 cm with center O and take any point A on the circumference of circle.

2. Join OA, and draw AX ⊥ OA

3. Taking O as center draw an arc of 5 cm, that cuts AX at B, Join OB.

PART - 2

**Steps of constructions:**

1. Draw a line AB = 2 cm and Draw ∠BAX = 90°.

2. Taking B as center, draw an arc of radius 4 cm, which intersects AX at O, Join OB.

3. Taking O as center, and OA as radius, draw a circle and the required diagram is drawn.

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The picture shows the tangents at two points on a circle and the radii through the points of contact.

Prove that the tangents have the same length.

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In each of the two pictures below, a triangle is formed by a tangent to a circle, the radius though the point of contact and a line through the centre:

Draw these in your note book.

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Draw this picture in your notebook.

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