Question

If focus of the parabola is $(3,0)$ and length of latus rectum is $8$, then its vertex is

• A. $(2,0)$
• B. $(1,0)$
• C. $(0,0)$
• D. $(-1,0)$

Answer 1

Answer: (B)

$(1,0)$

Given, focus $=(3,0)$ and Length of latus rectum $=8$

$\Rightarrow 4a=8$ $\Rightarrow a=2$

$\Rightarrow$ Vertex = $(3-a,0)$ $=(1,0)$

$\therefore$ Option B is correct