ConstructionModerate1.5 marks
3(iii)
Use ruler and compass for the following construction:
construct the locus of points which are equidistant from AB and BC. Mark the point where the circumcircle and locus meet, as D.
Topic: Loci
Previous-year question practice database
Answer
Solution diagram

Exam answer
Construct the angle bisector of ∠ABC; let its second intersection with the circumcircle be D.
Explanation
Points equidistant from lines AB and BC lie on their angle bisector.
More from Loci (Locus and Its Constructions)
Construct the locus of points equidistant from B and C.2024Construct the locus of points equidistant from A and B.2024Mark the point which satisfies both the conditions (a) and (b) as O. Construct the locus of points keeping a fixed distance OA from the fixed point O.2024Construct the locus of points which are equidistant from BA and BC.2024Find the locus of points equidistant from A and B. Mark the point where it meets the circle as D.2020Join AD and find the locus of points which are equidistant from AD and AB. Mark the point where it meets the circle as C.2020