The given circle x2+y2+2 p x=0, p ∈ R touches the parabola y2=4 x externally, then

Question

The given circle x2+y2+2 p x=0, p ∈ R touches the parabola y2=4 x externally, then (A) p <0 (B) p >0 (C) 0< p <1 (D) p <-1

Tardigrade Admin · Accepted Answer

V=(a, (a(1+t2)/t)) and T: t y=x+a t2 put x=a x=-a U=(-a, (a(t2-1)/t))

Q. The given circle $x^{2} + y^{2} + 2 p x = 0, p \in R$ touches the parabola $y^{2} = 4 x$ externally, then