The locus of the point of intersection of the lines (where T is a parameter) is a hyperbola. whose eccentricity is
Step 1: To derive the Standard equation of a hyperbola
Given:
The equations of lines
Multiplying the equations
Standard equation of a hyperbola, where and
Step 2 : Compute the eccentricity
Eccentricity formula:
Therefore, the eccentricity is .