Question

The vertex of a parabola is $(2,2)$ and the co-ordinates of its two extrimities of the latus rectum are $(-2,0)$ and $(6,0)$. The equation of the parabola is

• A. $y ^2-4 y +8 x -12=0$
• B. $x^2+4 x-8 y-12=0$
• C. $x^2-4 x+8 y-12=0$
• D. $x^2-8 y-4 x+20=0$

Answer 1

Answer: (C)

Shifting the origin at A equation is$X ^2=-8 Y$
now $( x -2)^2=-8( y -2) \Rightarrow( C )$