ParabolaHardBloom L3
Question
A line $L$ passing through the focus of the parabola $y^{2} = 4(x - 1)$ intersects the parabola in two distinct points. If ' $m$ ' be the slope of the line $L$, then:
Options
A.$m \in ( - \infty,0)$
B.$m \in \lbrack 0,\infty)$
C.$m \in (0,\infty)$
D.none of these
Solution
Sol. [Key Concept: A line through the focus meets the parabola in two distinct points for every finite slope (and the axis); test which $m$ the options permit.]
$$m \neq 0$$
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