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Diagram

Sum

Construct a tangent to a circle of radius 4 cm from a point which is at a distance of 6 cm from its centre.

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#### Solution

Given, a point M’ is at a distance of 6 cm from the centre of a circle of radius 4 cm.

**Steps of construction:**

**1.** Draw a circle of radius 4 cm. Let centre of this circle is O.

**2.** Join OM’ and bisect it. Let M be mid-point of OM’.

**3.** Taking M as centre and MO as radius draw a circle to intersect circle (0, 4) at two points, P and Q.

**4.** Join PM’ and QM’. PM’ and QM’ are the required tangents from M’ to circle C(0, 4).

Concept: Construction of Tangents to a Circle

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