jee-advanced 2017 Q44

jee-advanced · India · paper1 Circles Circle-Line Intersection and Point Conditions
For how many values of $p$, the circle $x^2 + y^2 + 2x + 4y - p = 0$ and the coordinate axes have exactly three common points?
For how many values of $p$, the circle $x^2 + y^2 + 2x + 4y - p = 0$ and the coordinate axes have exactly three common points?