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Exam (elaborations)
Conics
Mid Semester Exam 
 
1. Express the equation of the ellipse 4x2 + y2 – 8x + 4y + 4 = 0 in the standard form. Hence, 
determine the coordinates of the centre and the vertices on the major axis. (2006/2007) 
 
2. A Circle with centre (5, 8) touches the y-axis and passes through the point (2, y). Find the 
general equations of the circle. Determine the possible values of y. (2006/2007) 
 
3. Given the circle C1 : x2 + y2 – 10x + 18y + 70 = 0 and C2 : x2 + y2 – 6y – 7 = 0. ...