A TREK ON THE SECOND DEGREE CURVE

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A TREK ON THE SECOND DEGREE CURVE

Author: Dr. J. Shanthi and A. Abinaya

Published On: 2026-02-17

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Abstract

This paper deals with the problem of obtaining non-zero distinct integer solutions to the no non-homogeneous binary quadratic equations with two unknowns . A few interesting properties among the solutions are given. The construction of second order Ramanujan Numbers is illustrated. Employing the linear combination among the solutions of the given equation, integer solutions for other choices of hyperbola & parabola and a few relations among special polygonal numbers are obtained.

KEYWORDS:

Binary quadratic, Non-homogeneous quadratic, Pell equation, Positive Pell equation, Hyperbola.

2010 Mathematics Subject Classification: 11D09

Keywords

Binary quadratic Non-homogeneous quadratic Pell equation Positive Pell equation Hyperbola. 2010 Mathematics Subject Classification: 11D09

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