Question

Draw a line segment PQ of length 9 cm.Taking P as centre ,draw a circle of radius 5 cm and taking Q as centre ,draw another circle of radius 3 cm.construct tangents to each circle from the centre of the othre circle.

Answer 1

Answer:

Step-by-step explanation:

1) draw a line segment of length 9 cm

2) draw a circle from P with radius 5 cm

3) draw a circle from Q with radius 3cm

4) draw a perpendicular bisector of line PQ

5) name the point as R

6) now with radius PR draw a circle from R

7) name the point of intersections as A, B, C, D

8)join AQ, BQ AND PC, PD

9) these are the required tangents

Answer 2

5 Steps on way to Construction

Step-by-step explanation:

The tangents can be constructed on the given circles as follows-

Step 1

A line segment PQ of length 9 cm is drawn initially.

Step 2

Taking P and Q as the center, draw two circles of 5 cm and 3 cm radius.

Step 3

PQ is drawn as a bisector line of the PQ line. Let us suppose C as the midpoint of PQ  

Step 4

Draw a circle of Radius equal to PC from C (center), intersecting the circles at points, A, B, D & E  

Step 5

QA, QB, PD, and PE are required tangents.