Question

Q.5 Draw a circle of radius 4cm .Take two points A and B on one of its extended
diameter each at a distance of 6cm from its centre. Draw tangents to the circle
from these two points A and B.

UwU nhi
Misstree thik h

Answer 1

Answer:

Steps of Construction :

Step I : Taking a point O as center , draw a circle of radius 3cm

Step II : Take two points P and Q on one of its extended diameter such that OP=OQ=7cm

Step III : Bisect OP and OQ and let M

1

and M

2

be the mid-points of OP and OQ respectively.

Step IV : Draw a circle with M1

as center and M 1

P as radius to intersect the circle at T1 and T 2

Strep V : Joint PPT and PT 2 Then PT

1

and PT

3

are the required tangents . Similarly the tangents QT

3

and QT

4

can be obtained.

Justification ;

On Joining OT

1

we find ∠PT

O

=90

0

as it is an angle in the semicircle.

∴PT

1

⊥OT

1

Since OT

1

is a radius of the given circle , So PT

1

has to be the tangents to the circle.

Similarly PT

2

,QT

3

and QT

4

are also tangents to the circle.

Answer 2

Answer:

annyeong-

Explanation: