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Find the equation of the circle with cen...

Find the equation of the circle with centre at (0, 0) and radius 4.

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To find the equation of the circle with center at (0, 0) and radius 4, we can follow these steps: ### Step 1: Identify the center and radius The center of the circle is given as (0, 0), which means: - \( a = 0 \) - \( b = 0 \) The radius \( R \) is given as 4. ...
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Knowledge Check

  • The equation of the circle with centre (0, 5) and radius 5 is

    A
    (i) `x^(2)+y^(2)-10=0`
    B
    (ii) `x^(2)+y^(2)+10=0`
    C
    (iii) `x^(2)+y^(2)-10y=0`
    D
    (iv) `x^(2)+y^(2)+10y=0`
  • The equation of the circle with centre (6,0) and radius 6 is

    A
    `x^(2)+y^(2)-12=0`
    B
    `x^(2)+y^(2)+12=0`
    C
    `x^(2)+y^(2)-12x=0`
    D
    `x^(2)+y^(2)+12x=0`
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    The equation of the circle with centre (0,6) and radius 3 is