csat-suneung 2016 Q9

csat-suneung · South-Korea · csat__math-B 3 marks Circles Area and Geometric Measurement Involving Circles

For the parabola $y ^ { 2 } = 4 x$, let $l$ be the tangent line at point $\mathrm { A } ( 4,4 )$. Let B be the intersection of line $l$ and the directrix of the parabola, C be the intersection of line $l$ and the $x$-axis, and D be the intersection of the directrix and the $x$-axis. What is the area of triangle BCD? [3 points]
(1) $\frac { 7 } { 4 }$
(2) 2
(3) $\frac { 9 } { 4 }$
(4) $\frac { 5 } { 2 }$
(5) $\frac { 11 } { 4 }$

For the parabola $y ^ { 2 } = 4 x$, let $l$ be the tangent line at point $\mathrm { A } ( 4,4 )$. Let B be the intersection of line $l$ and the directrix of the parabola, C be the intersection of line $l$ and the $x$-axis, and D be the intersection of the directrix and the $x$-axis. What is the area of triangle BCD? [3 points]\\
(1) $\frac { 7 } { 4 }$\\
(2) 2\\
(3) $\frac { 9 } { 4 }$\\
(4) $\frac { 5 } { 2 }$\\
(5) $\frac { 11 } { 4 }$

Paper Questions

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