Problems for the senior school
De, Prithwijit and Shirali, Shailesh (2018) Problems for the senior school. At Right Angles, 7 (3). pp. 103105. ISSN 25821873

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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: 


Uncontrolled Keywords:  Negative, Integer, Proof, Function.  
Subjects:  Natural Sciences > Mathematics  
Divisions:  Azim Premji University > University Publications > At Right Angles  
Full Text Status:  Public  
URI:  http://publications.azimpremjiuniversity.edu.in/id/eprint/1772  
Publisher URL: 
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