S. Vidhyalakshmi, 1 *, M.A. Gopalan 2 and S. Aarthy Thangam 3
Author Address :
1,2,3 Department of Mathematics, Shrimati Indira Gandhi College, Trichy-620002, Tamil Nadu, India.
We search for the lattice points of the hyperbola $X^2+4XY+Y^2-2X+2Y-8=0$. Various connections among the solutions are given. Given a solution, solutions for other forms of hyperbolas and parabolas are determined.
Binary quadratic, Hyperbola, Parabola, Pell equation, Integral solutions.
Article Info :
Received : December 21, 2018; Accepted : February 11, 2019.