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Ten - Item Quiz : Introduction to Conics section

Quiz by VIOLENTINA J. ASUNCION

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10 questions
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  • Q1

    1.   Which of the following   equations  represents the  graph of a circle?   

    Ax²+ Cy² + Dx + Ey + F =0 , and   A and C have the same signs .

    Ax²+ Cy² + Dx + Ey + F =0   and A = C          

     Ax²+ Cy² + Dx + Ey + F =0  and A or C is zero.

             

     Ax²+ Cy² + Dx + Ey + F =0 , and  A and C have opposite signs.  

    30s
  • Q2

    1.   Which of the following geometric figures is not a conic section?

         

    parabola

    parallel lines   

    hyperbola

    circle

    15s
  • Q3

    1.   Which of the following   equations  represents the  graph of an ellipse?

    A.  Ax²+ Cy² + Dx + Ey + F =0 , where A and C ≠ 0 ,  A or C is zero.

    B.  Ax²+ Cy² + Dx + Ey + F =0 , where A and C ≠ 0 ,  A = C           

    C.  Ax²+ Cy² + Dx + Ey + F =0 , where A and C ≠ 0,   A and C have the same signs .

    D.  Ax²+ Cy² + Dx + Ey + F =0 , where A and C ≠ 0,  A and C have opposite signs.  

    C

    30s
  • Q4

    1.   Which of the following   equations  represents the  graph of a hyperbola?

    A.  Ax²+ Cy² + Dx + Ey + F =0 , where A and C ≠ 0 ,  A or C is zero.

    B.  Ax²+ Cy² + Dx + Ey + F =0 , where A and C ≠ 0 ,  A = C           

    C.  Ax²+ Cy² + Dx + Ey + F =0 , where A and C ≠ 0,   A and C have the same signs .

    D.  Ax²+ Cy² + Dx + Ey + F =0 , where A and C ≠ 0,  A and C have opposite signs.  

    D

    30s
  • Q5

    1.   Which of the following   equations  represents the  graph of a parabola?

    A.  Ax²+ Cy² + Dx + Ey + F =0 , where A and C ≠ 0 ,  A or C is zero.

    B.  Ax²+ Cy² + Dx + Ey + F =0 , where A and C ≠ 0 ,  A = C           

    C.  Ax²+ Cy² + Dx + Ey + F =0 , where A and C ≠ 0,   A and C have the same signs .

    D.  Ax²+ Cy² + Dx + Ey + F =0 , where A and C ≠ 0,  A and C have opposite signs.  

    A

    30s
  • Q6

    What is the main difference of  non- degenerate conics from degenerate conics?

    A. The graphs of the equations do not intersect the tips of the double napped cones

    B. The values of A and C in the equation Ax²+ Bxy + Cy² + Dx + Ey + F =0

      C. The value of the discriminant;  B² - 4AC   in the equation ,                                                                           Ax² + Bxy +Cy² + Dx + Ey + F=0

      D. The value of eccentricity in the equation Ax² + Cy² + Dx + Ey + F =0

    A

    30s
  • Q7

    Which of the following conic sections has asymptotes?

         A. circle                      B. ellipse         

        C.parabola               D.hyperbola

    D

    30s
  • Q8

    Which of the following  statements does not describe the eccentricity of a conic

           section?

    A.  Eccentricity is a parameter of a conic section that describes how much the conic

    section deviates from being circular.

    B.  Eccentricity the distance from any point on the conic section to its focus, divided by  the perpendicular distance from that point to the nearest directrix.

    C. The value of eccentricity determines the distance between the focus and directrix.

      D. The value of eccentricity is used to determine the type of a conic section.

    C

    30s
  • Q9

    One of the most useful common properties of conic sections is their  reflective property.  Which of the following conic sections has  this process of reflective property?:The source is located at one focus and the signal will be reflected in lines

    parallel to the  conic section’s axis.

     

        A.circle                       B. ellipse                 

       C. parabola               D. hyperbola

    C

    30s
  • Q10

    Which of the following statements describes both parabola and circle?

         A. The focus and  the vertex coincide.

         B. There is only one focus or source of reflection.

         C. The value of eccentricity is equal to 1.

         D. The directrix is in the exterior of the graph.

    B

    30s

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