1) A conic section composed of a set of points that is equidistant from a fixed point called center? a) Ellipse b) Circle c) Parabola d) Hyperbola 2) It refers to a curves created by the intersection of a plane and a right circular cone (nape)? a) Conic Section b) Point of intersection c) Parabola d) Hyperbola 3) Which of the following is a non-degenerate conic section? a) Ellipse b) Intersecting Lines c) Line d) Point 4) Which of the following equations represent the standard equation of a circle? a) x ^ 2 + (y - 3) ^ 2 = 25 b) x ^ 2 - (y - 3) ^ 2 = 25 c) x ^ 2 + (y - 3) = 25 d) x ^ 2 + 5 * (y - 3) ^ 2 = 25 5) The following points lie on the graph of the circle x ^ 2 + y ^ 2 = 5 except a) (1,2) b) (2,1) c) (-1,-2) d) (0,5) 6) What is the equation of a circle with center at (-2,-3) and has a of radius 5? a) (x - 2) ^ 2 + (y - 3) ^ 2 = 25 b) (x + 2) ^ 2 + (y + 3) ^ 2 = 25 c) (x - 4) ^ 2 + (y - 9) ^ 2 = 125 d) (x + 4) ^ 2 + (y + 9) ^ 2 = 125 7) What is the equation of the circle on the right? a) (x + 3) ^ 2 + (y - 1) ^ 2 = 4 b) (x - 3) ^ 2 + (y - 1) ^ 2 = 4 c) (x + 3) ^ 2 + (y + 1) ^ 2 = 4 d) (x - 3) ^ 2 + (y + 1) ^ 2 = 4 8) When the graph of the circle x ^ 2 + y ^ 2 = 25 moves 3 units downward and 2 units to the left, find the new equation of the circle? a) (x - 2) ^ 2 + (y + 3) ^ 2 = 25 b) (x + 2) ^ 2 + (y - 3) ^ 2 = 25 c) (x + 2) ^ 2 + (y + 3) ^ 2 = 25 d) (x - 2) ^ 2 + (y - 3) ^ 2 = 25 9) It is a set of points equidistant from a fixed point (focus) and a fixed line (directrix). a) Ellipse b) Circle c) Hyperbola d) Parabola 10) Find the equation of the parabola whose vertex is at the origin and focus at (-2, 0). a) x ^ 2 = 8y b) x ^ 2 = - 8y c) y ^ 2 = 8x d) y ^ 2 = - 8x 11) What is the equation of the parabola whose vertex is at (2,-5) and directrix y=0 a) a. (x + 5) ^ 2 = 8(y - 2) b) b. (x - 5) ^ 2 = 8(y + 2) c) c. (y + 5) ^ 2 = 8(x - 2) d) d. (y - 5) ^ 2 = 8(x + 2) 12) Which of the following equations satisfy the condition of the parabola whose vertex is at the origin and the directrix is x= -3. a) a. y ^ 2 = - 12x b) b. y ^ 2 = 12x c) c. x ^ 2 = 12y d) d. x ^ 2 = - 12y

PRE-CALCULUS

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