Problems for the senior school

De, Prithwijit and Shirali, Shailesh (2018) Problems for the senior school. At Right Angles, 7 (3). pp. 103-105. ISSN 2582-1873

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Abstract

Let ABC be an equilateral triangle with centre O. A line through C meets the circumcircle of triangle AOB at points D and E. Prove that the points A, O and the midpoints of segments BD, BE are concyclic. Three nonzero real numbers are given. It is given that if they are written in any order as the coefficients of a quadratic trinomial, then each of these trinomials has a real root. Does it follow that each of these trinomials has a positive root?

Item Type:	Articles in APF Magazines
Authors:	De, Prithwijit and Shirali, Shailesh
Document Language:	Language English
Uncontrolled Keywords:	Negative, Integer, Proof, Function.
Subjects:	Natural Sciences > Mathematics
Divisions:	Azim Premji University - Bengaluru > University Publications > At Right Angles
Full Text Status:	Public
URI:	http://publications.azimpremjiuniversity.edu.in/id/eprint/1772
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