Question

3
Draw a circle of radius 4 cm. From the point 7 cm away from its centre,
construct the pair of tangents to the circle.​

Answer 1

Answer:

Construction :

1. Draw a circle with centre O and radius 3 cm.

2. Mark a point P such that OP=7 cm.

3. Draw a ⊥r bisector of AB, it meets AB at M.

4. Draw a circle with centre m and radius OM.

5. Two circles intersect at T and T  

1

.

6. Join PT, PT  

1

. They are required tangents.

Verification :

PT=  

OP  

2

−OT  

2

 

​  

=  

7  

2

−3  

2

 

​  

 

=  

49−9

​  

 

=  

40

​  

 

=6.3 cm