csat-suneung 2019 Q6

csat-suneung · South-Korea · csat__math-science 3 marks Conic sections Focal Distance and Point-on-Conic Metric Computation
For a point P on the parabola $y ^ { 2 } = 12 x$ with focus F, when $\overline { \mathrm { PF } } = 9$, what is the $x$-coordinate of point P? [3 points]
(1) 6
(2) $\frac { 13 } { 2 }$
(3) 7
(4) $\frac { 15 } { 2 }$
(5) 8
For a point P on the parabola $y ^ { 2 } = 12 x$ with focus F, when $\overline { \mathrm { PF } } = 9$, what is the $x$-coordinate of point P? [3 points]\\
(1) 6\\
(2) $\frac { 13 } { 2 }$\\
(3) 7\\
(4) $\frac { 15 } { 2 }$\\
(5) 8