Question Detail

GET 102 GEOMETRIC CONSTRUCTION: POLYGONS AND TANGENCY Objective Question

Question

To construct a common tangent to two unequal circles (Page 15) with radii R and r (R > r), what specific radius is used to draw a circle from the center of the larger circle (O) to cut the semi-circle?
Options
A R+r
B R-r
Correct Answer
C R
D r
Correct Answer

Option B is the correct answer.

Detailed Explanation

Page 15, step 4 for 'To Construct a Common Tangent to Two UNEqual Circles' instructs: 'Draw a circle centre O with radius R-r to cut semi-circle at B.'

Hint

For a *common direct* tangent to unequal circles, the difference in radii is often used.

Question Info