The equation of a parabola having its focus at S(2,0) and one extremity of its latus rectum as (2,2) is

Options

A. `y^(2)=4(3-x)`
B. `y^(2)=4(1-x)`
C. `y^(2)=4(1-x)`
D. `y^(2)=8(3-x)`

Explanation

Clearly, the other extremity of the latus rectum is (2,-2). It axis is the x-axis. Corresponding value of `a=(2-0)/(2)=1`
Hence, its vertex is (1,0) or (3,0). Thus, its equation is `y^(2)=4(x-1)` or `y^(2)=-4(x-3)`.