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

Solution:

Steps of Construction

1. Construct a circle of radius 4 cm. Consider O as the centre of the circle.

2. Let us take a point M which is at 6 cm away from the radius.

3. Join OM and bisect it. With M and O as centres and radius more than half of it, construct two arcs on either side of the line OM. Let the arc meet at A and B where M₁ is the midpoint of OM.

4. Take M1 as centre and M₁O as the radius, construct a circle to intersect circle with radius 4 cm and the centre O at two points P and Q

5. Now join PM and QM. So PM and QM are the required tangents from M to O and radius 4 cm.

Therefore, the figure is drawn.

✦ Try This: Construct a tangent to a circle of radius 5 cm from a point which is at a distance of 7 cm from its centre.

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 11

NCERT Exemplar Class 10 Maths Exercise 10.3 Problem 4

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

Summary:

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

☛ Related Questions:

• Given a rhombus ABCD in which AB = 4 cm and ∠ABC = 60°, divide it into two triangles say, ABC and AD . . . .
• Two line segments AB and AC include an angle of 60° where AB = 5 cm and AC = 7 cm. Locate points P a . . . .
• Draw a parallelogram ABCD in which BC = 5 cm, AB = 3 cm and ∠ABC = 60°, divide it into triangles BCD . . . .