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 | ||
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| Authors: | De, Prithwijit and Shirali, Shailesh | ||
| Document Language: |
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| 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 | ||
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