The abscissa of a point can be expressed as 3 times the sum of a non-zero number and its reciprocal . If its ordinate can be written as 2 times the difference of that number and its reciprocal , find equation of locus of the point and identify the curve

Answer

`i.e. , (x^(2))/(9) - (y^(2))/(4) = 4 i.e. , (x^(2))/(36) - (y^(2))/(16) = 1`
This equation represents a hyperbola