Shreemathi  Adiga, N.  Anusheela, M.A.  Gopalan, 
    On the Diophantine Equation x<sup>2</sup> +y<sup>2</sup> = z<sup>2</sup>+5,
    Journal of Engineering and Applied Sciences,
    Volume 14,Issue 10,
    2019,
    Pages 3326-3337,
    ISSN 1816-949x,
    jeasci.2019.3326.3337,
    (https://makhillpublications.co/view-article.php?doi=jeasci.2019.3326.3337)
    Abstract: This study concerns with the problem of obtaining non-zero distinct integer solutions to the given ternary quadratic Diophantine equation by introducing linear transformations. A few interesting relations among the solutions are given. From the resulting solutions of the given equation integer solutions to different choices of parabola and hyperbola are obtained. Construction of Diophantine 3-tuples and special dio 3-tuples is exhibited.
    Keywords: Ternary quadratic integer solutions;parabola;hyperbola;Diophantine 3-tuple;dio 3-tuple;relation