Multiple Choice Question (MCQ)

Which of the following equations describes the set of all points (x,y) in the coordinate plane that are a distance 5 from the point (-4,5)

  1. ×

    (x+4)+(y-5) = 5

  2. ×

    (x-4)+(y+5) = 5

  3. (x+4)^2+(y-5)^2 = 25

  4. ×

    (x+4)^2+(y-5)^2 = 5

  5. ×

    (x-4)^2+(y+5)^2 = 25

Collected in the board: Coordinate geometry

Steven Zheng posted 1 month ago


Answer

  1. Using the formula for the equation of a circle

    (x-h)^2+(y-k)^2 =r^2

    Here the coordinates of the circle is given as (-4,5) and the radius r =5. So the equation of the circle is

    (x+4)^2+(y-5)^2 = 25

    The answer is C

Steven Zheng posted 1 month ago

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