Question Detail

GET 102 GEOMETRIC CONSTRUCTION: POLYGONS AND TANGENCY Objective Question

Question

In the construction of a common cross tangent to two equal circles (page 14), after bisecting O-O1 to get A and OA to get B, and drawing a semi-circle with radius OB from center B to cut the first circle at C, what is the crucial next step to locate the second tangent point D?
Options
A Draw a line parallel to the center line through C.
B Locate D on the second circle such that the arc distance from its center to D is equal to AC.
C Locate D on the second circle with AC=AD.
Correct Answer
D Draw a 90° line from the center of the second circle through A.
Correct Answer

Option C is the correct answer.

Detailed Explanation

Page 14, step 5, states: 'Locate D on second circle with AC=AD.' This establishes the symmetry needed for the cross tangent.

Hint

Refer to 'To Construct a Common Cross Tangent to Two Equal Circles' on page 14, especially step 5.

Question Info