Question Detail

GET 102 GEOMETRIC CONSTRUCTION: POLYGONS AND TANGENCY Objective Question

Question

In the construction of a common tangent to two equal circles (Page 13), after joining the centers, what is the next step?
Options
A Join the points of intersection to give the tangents.
B Construct lines at 90° to the centre line from each centre.
Correct Answer
C Draw a semi-circle.
D Bisect the line joining the centers.
Correct Answer

Option B is the correct answer.

Detailed Explanation

Page 13, step 2 for 'To Construct a Common Tangent to Two Equal Circles' specifies: 'From each centre, construct lines at 90° to the centre line.'

Hint

Think about how the tangent relates to the radius at the point of contact.

Question Info