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Conic Sections ...

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  • Question 1
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    What is the equation of a circle with center (-3,1) and radius 7?

  • Question 2
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    An ambulance company provides services within an 80 mile radius of their headquarters If this service area is represented graphically with the headquarters located at the coordinates (0, 0) what is the equation that represents the service area?

  • Question 3
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    Graph the circle
    $${ \left( x-3 \right)  }^{ 2 }+{ \left( y+4 \right)  }^{ 2 }=4$$

  • Question 4
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    The point $$P(9/2, 6)$$ lies on the parabola $$y^2=4ax$$, then parameter of the point P is

  • Question 5
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    Find the equation of the circle with center on x + y = 4 and 5x + 2y + 1 = 0 and having a radius of 3

  • Question 6
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    Find the equation of k for which the equation $$\displaystyle x^{2}+y^{2}+4x-2y-k=0$$ represents a point circle

  • Question 7
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    The equation $$y^{2} + 4x + 4y + k = 0$$ represents a parabola whose latus rectum is

  • Question 8
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    Equation of the parabola with its vertex at $$(1, 1)$$ and focus $$(3, 1)$$ is

  • Question 9
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    The equation of a circle which has a tangent $$3x+4y=6$$ and two normals given by $$(x-1)(y-2)=0$$ is

  • Question 10
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    The ends of the latus rectum of the conic $$x^{2} + 10x - 16y + 25 = 0$$ are

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