taiwan-gsat 2006 Q7

taiwan-gsat · Other · gsat__math Conic sections Circle Identification and Classification
7. Consider all points $( x , y )$ on the coordinate plane satisfying $\sqrt { ( x - 2 ) ^ { 2 } + y ^ { 2 } } + \sqrt { ( x - 2 ) ^ { 2 } + ( y + 4 ) ^ { 2 } } = 10$. Which of the following statements is correct?
(1) This figure is an ellipse.
(2) This figure is a hyperbola.
(3) The center of this figure is at $( 2 , - 2 )$.
(4) This figure is symmetric about $x - 2 = 0$.
(5) This figure has a vertex at $( 2,3 )$.
& D 
7. Consider all points $( x , y )$ on the coordinate plane satisfying $\sqrt { ( x - 2 ) ^ { 2 } + y ^ { 2 } } + \sqrt { ( x - 2 ) ^ { 2 } + ( y + 4 ) ^ { 2 } } = 10$. Which of the following statements is correct?\\
(1) This figure is an ellipse.\\
(2) This figure is a hyperbola.\\
(3) The center of this figure is at $( 2 , - 2 )$.\\
(4) This figure is symmetric about $x - 2 = 0$.\\
(5) This figure has a vertex at $( 2,3 )$.
Paper Questions
Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11