Match the conic in List I with the statements/expressions in List II.

Answer

`d rarrq, s`

Explanation

If `|z-z_(1)|-|z-z_(2)|=k` where `k lt|z_(1)-z_(2)|`, then locus of variable point 'z' on branch of the hyperbola with fixed points `z_(1)` and `z_(2)`
Clearly distance between complex numbers '2' and `'-2'` is 4 which is less then 3.
So, locus of z is a branch of the hyperbola.
s. If eccentricity is `[1,oo)`, then the conic can be a parabola (if e = 1) and a hyperbola if `e in (1,oo)`.
Note. Solutions of the remaining parts are given in their respective chapters.