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Circles Test 1...

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  • Question 1
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    Let $$C$$ be the circle with centre at $$(1,\ 1)$$ and radius $$=1$$. If $$T$$ is the circle centered at $$ (0,\ y)$$, passing through origin and touching the circle $$C$$ externally, then the radius of $$T$$ is equal to :

  • Question 2
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    If the lines $$2\mathrm{x}+3\mathrm{y}+1=0$$ and $$\mathrm{3x}- \mathrm{y}-4=0$$ lie along diameters of a circle of circumference $$ 10\pi$$, then the equation of the circle is: 

  • Question 3
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    The circle $$x^{2}+y^{2}-8x=0$$ and hyperbola $$\dfrac{x^{2}}{9}-\dfrac{y^{2}}{4}=1$$ intersect at the points $$A$$ and $$B$$.
    then the equation of the circle with $$AB$$ as its diameter is

  • Question 4
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    The equation of the circle touching $$x = 0, y = 0$$ and $$x = 4$$ is

  • Question 5
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    The radius of the circle with center (0,0) and which passes through (-6,8) is

  • Question 6
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    The equation of circle with its centre at the origin is $$x^2+y^2=r^2$$

  • Question 7
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    Which of the following equations of a circle has center at (1, -3) and radius of 5?

  • Question 8
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    Determine the area enclosed by the curve $$\displaystyle x^{2}-10x+4y+y^{2}=196$$

  • Question 9
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    The standard equation of circle at origin is

  • Question 10
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    The diameter of a circle described by $$\displaystyle 9x^{2}+9y^{2}=16$$ is

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