11.5+OFSA

OFSA for Conics A (Full)
This page contains peer generated questions that help you assess your understanding. Remember that questions may not represent the rigor of the questions you may be expected to complete on formal assessments. This page is simply an OFSA - opportunity for self assessment.

\frac{\left ( x-h \right )^{2}}{b^{2}}-\frac{\left ( y-k \right )^{2}}{a^{2}}=1 math \frac{\left ( x-h \right )^{2}}{a^{2}}-\frac{\left ( y-k \right )^{2}}{b^{2}}=1 math \frac{\left ( x-h \right )^{2}}{a^{2}}+\frac{\left ( y-k \right )^{2}}{b^{2}}=1 math \left ( x-h \right )^{2}-\left ( y-k \right )^{2}=1 math Click here for solution.
 * Question 1**
 * Which is the general equation for a hyperbola?**
 * a.** math
 * b.** math
 * c.** math
 * d.** math

math \frac{x^{2}}{6}+\frac{\left ( y-4 \right )^{2}}{\sqrt{27}}=1 math math \frac{\left (x-3 \right )^{2}}{36}+\frac{\left ( y+4 \right )^{2}}{27}=1 math math \frac{x^{2}}{36}+\frac{\left ( y-4 \right )^{2}}{27}=1 math math \frac{x^{2}}{36}-\frac{\left ( y-4 \right )^{2}}{27}=1 math Click here for solution.
 * Question 2**
 * Write an equation for a full conic that has foci at (+3,4) and (-3,4) and eccentricity of 0.5.**
 * a.**
 * b.**
 * c.**
 * d.**

a. (1,2) b. (5,2) c. (-1,2) d. (3,4) Click here for solution.
 * Question 3**
 * Where is the focal point of the parabola that opens left with focal diameter of 8 and a vertex at (3,2)?**

math \[x^{2} + y^{2} - 6x - 4y -68=0\] math a. math \[(x-3)^{2} + (y-2)^{2} = 81\] math b. math \[(x-3)^{2} + (y-2)^{2} = 1\] math c. math \[(x+3)^{2} + (y+2)^{2} = 1\] math d. math \[(x+3)^{2} + (y+2)^{2} = 81\] math
 * Question 4**
 * Find the equation of the following conic**

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//a.// math \frac{(y)^{2}}{25} - \frac{(x)^{2}}{4} = 1 math b. math \[\frac{(x)^{2}}{25} - \frac{(y)^{2}}{4} = 1\] math c. math \frac{(y)^{2}}{4} - \frac{(x)^{2}}{25} = 1 math d. math \frac{(x)^{2}}{4} - \frac{(y)^{2}}{25} = 1 math Click here for solution.
 * Question 5**
 * //Write the equation of a hyperbola with vertices (0, -5) and (0, 5) and vertices (-2,0) and (2, 0)://**

a. math \frac{(x)^{2}}{4} + \frac{(y)^{2}}{3} = 1 math b. math \frac{(x)^{2}}{4} - \frac{(y)^{2}}{3} = 1 math c. math \frac{(x)^{2}}{16} - \frac{(y)^{2}}{9} = 1 math d. math \frac{(x)^{2}}{16} + \frac{(y)^{2}}{9} = 1 math
 * Question 6**
 * //The ellipse is center at the origin. The legnth of its horizontal axis is 8 and the length of its vertical axis is 6. What is the equation for the ellipse?//**

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 * Question 7**
 * In a hyperbola, the eccentricity is...**


 * a.** E = 0


 * b.** E > 1


 * c.** 0 < E < 1


 * d.** E = 1

Click here for solution.


 * Question 8**
 * A parabola has a maximum point,**
 * and has a 10 cm focal diameter. Solve for A**


 * A.** 20


 * B.** 10


 * C.** 1/10


 * D.** cannot be solved.

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 * Question 9**

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 * Question 10**

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 * Question 11**

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 * Question 12**

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 * Question 13**

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 * Question 14**

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 * Question 15**

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 * Question 16**

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 * Question 17**

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 * Question 18**

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 * Question 19**

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 * Question 20**

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 * Question 22**

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 * Question 23**

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 * Question 24**