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40 questions
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- Q1Which of the following is also known as a degenerate case of conic sections?HyperbolaCircleEllipsePoint30sSTEM_PC11AGIa-1
- Q2Which of the following conic sections is defined as the set of all points in a plane that are the same distance from a given point and a given line?ParabolaHyperbolaEllipseCircle30sSTEM_PC11AGIa-1
- Q3Which conic section is defined by the locus of points for which the distance to a given point, called the focus, is a constant ratio to the distance from a given line, the directrix, where the ratio is greater than but not equal to one?EllipseHyperbolaCircleParabola30sSTEM_PC11AGIa-1
- Q4What is the mathematical definition of a circle?A round shape with no corners or edgesA polygon with infinite number of sidesA set of points in a plane that are all the same distance from a fixed pointA set of lines that all intersect at a single point30sSTEM_PC11AGIa-2
- Q5Which equation defines a circle with center (h,k) and radius r in a two-dimensional coordinate system?$(x-h) + (y-k) = r$(x-h)^2 + (y-k)^2 = r^2$(x+h)^2 + (y+k)^2 = r^2$$(x-h)^2 * (y-k)^2 = r^2$30sSTEM_PC11AGIa-2
- Q6What is the radius of a circle with center at the origin (0, 0) if its equation is given as $x^2 + y^2 = 25$?12.52555030sSTEM_PC11AGIa-2
- Q7What is the standard form of the equation of a circle with a center at (2,-3) and a radius of 4?(x + 2)² + (y + 3)² = 16(x + 2)² + (y - 3)² = 16(x - 2)² + (y + 3)² = 16(x - 2)² + (y - 3)² = 1630sSTEM_PC11AGIa-3
- Q8What is the standard form of the equation of a circle with a center at (-5,4) and a radius of 7?(x - 5)² + (y + 4)² = 49(x + 5)² + (y - 4)² = 49(x - 5)² + (y - 4)² = 49(x + 5)² + (y + 4)² = 4930sSTEM_PC11AGIa-3
- Q9What is the standard form of the equation of a circle with a center at (3,-2) and a radius of 5?(x - 3)² + (y + 2)² = 25(x + 3)² + (y - 2)² = 25(x - 3)² + (y - 2)² = 25(x + 3)² + (y + 2)² = 2530sSTEM_PC11AGIa-3
- Q10Which one of these is a correct definition of a parabola?A parabola is a set of all points in a plane that are equidistant from a fixed point (focus) and a movable line (directrix).A parabola is a set of all points in a plane that are the same distance from two fixed points.A parabola is a set of all points in a plane that are equidistant from a fixed point (focus) and a fixed line (directrix).A parabola is a curve where any point is at the same distance from a fixed point and a fixed line.30sSTEM_PC11AGIa-5
- Q11Which of the following equations represents a parabola?y = x^2y = |x|y = 2xy = x^330sSTEM_PC11AGIa-5
- Q12What shape does a parabola form?Straight lineU-shaped curveWavy lineCircular shape30sSTEM_PC11AGIa-5
- Q13Given the vertex (3,2) and the focus (3,5) of a parabola, what is the standard form of its equation?y = 1/3(x - 3)^2 + 2y = 1/3(x - 3)^2 + 3y = (x - 3)^2 + 2y = (x - 3)^2 + 530sSTEM_PC11AGIb-1
- Q14Given a parabola's vertex (2,-3) and directrix y = -5, what is its standard form equation?y = 1/2(x - 2)^2 - 3y = 1/2(x + 2)^2 - 3y = 2(x + 2)^2 - 3y = 2(x - 2)^2 - 330sSTEM_PC11AGIb-1
- Q15What is the standard form equation of a parabola with a focus at (3,2) and a directrix x = 1?(x - 3)^2 = 4(y - 2)(x + 3)^2 = 4(y + 2)(x - 2)^2 = 4(y - 3)(y - 2)^2 = 4(x - 3)30sSTEM_PC11AGIb-1