jee-main 2016 Q73

jee-main · India · 09apr Conic sections Locus and Trajectory Derivation
The centres of those circles which touch the circle, $x^2 + y^2 - 8x - 8y - 4 = 0$, externally and also touch the $x$-axis, lie on:
(1) a circle
(2) an ellipse which is not a circle
(3) a hyperbola
(4) a parabola
The centres of those circles which touch the circle, $x^2 + y^2 - 8x - 8y - 4 = 0$, externally and also touch the $x$-axis, lie on:\\
(1) a circle\\
(2) an ellipse which is not a circle\\
(3) a hyperbola\\
(4) a parabola