taiwan-gsat 2009 Q6

taiwan-gsat · Other · gsat__math 5 marks Straight Lines & Coordinate Geometry Point-to-Line Distance Computation
6. How many lines on the coordinate plane are there such that the distance from point $O(0,0)$ to the line is 1, and the distance from point $A(3,0)$ to the line is 2?
(1) 1 line
(2) 2 lines
(3) 3 lines
(4) 4 lines
(5) Infinitely many lines
II. Multiple-Choice Questions (25 points)
Instructions: For questions 7 through 11, each of the five options is independent, and at least one option is correct. Select the correct options and mark them on the ``Answer Sheet''. No deductions are made for incorrect answers. Full credit (5 points) is given for all five options correct; 2.5 points are given for exactly one incorrect option; no credit is given for two or more incorrect options.
& 3 & & 17 & 0 & \multirow{2}{*}{H} & 29 & 1
6. How many lines on the coordinate plane are there such that the distance from point $O(0,0)$ to the line is 1, and the distance from point $A(3,0)$ to the line is 2?\\
(1) 1 line\\
(2) 2 lines\\
(3) 3 lines\\
(4) 4 lines\\
(5) Infinitely many lines

\section*{II. Multiple-Choice Questions (25 points)}
Instructions: For questions 7 through 11, each of the five options is independent, and at least one option is correct. Select the correct options and mark them on the ``Answer Sheet''. No deductions are made for incorrect answers. Full credit (5 points) is given for all five options correct; 2.5 points are given for exactly one incorrect option; no credit is given for two or more incorrect options.