Question Detail

GET 102 GEOMETRIC CONSTRUCTION: POLYGONS AND TANGENCY Objective Question

Question

What is the first step in constructing a curve tangential to two general lines (not necessarily perpendicular, Page 18) at a distance 'r'?
Options
A Draw the required curve with centre O and radius r.
B Construct lines parallel to the lines at a distance r away to intersect at O.
Correct Answer
C Bisect the angle between the two lines.
D Draw a circle of radius r tangent to one line.
Correct Answer

Option B is the correct answer.

Detailed Explanation

Page 18, step 1 for 'To Construct a Curve Tangential to two Lines' states: 'Construct lines parallel to the lines at a distance r away to intersect at O.'

Hint

The center of the tangential curve must be equidistant from both lines.

Question Info