taiwan-gsat 2008 Q12

taiwan-gsat · Other · gsat__math Circles Circle Identification and Classification

12. Let $\Gamma : x ^ { 2 } + y ^ { 2 } - 10 x + 9 = 0$ be a circle in the coordinate plane. Which of the following statements are correct?
(1) The center of $\Gamma$ is at $( 5,0 )$
(2) The maximum distance from a point on $\Gamma$ to the line $L : 3 x + 4 y - 15 = 0$ equals 4
(3) The line $L _ { 1 } : 3 x + 4 y + 15 = 0$ is tangent to $\Gamma$
(4) There

& 124 & & 24 & 2 & & 40 & 5

12. Let $\Gamma : x ^ { 2 } + y ^ { 2 } - 10 x + 9 = 0$ be a circle in the coordinate plane. Which of the following statements are correct?\\
(1) The center of $\Gamma$ is at $( 5,0 )$\\
(2) The maximum distance from a point on $\Gamma$ to the line $L : 3 x + 4 y - 15 = 0$ equals 4\\
(3) The line $L _ { 1 } : 3 x + 4 y + 15 = 0$ is tangent to $\Gamma$\\
(4) There

Paper Questions

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