Question

Is the given point interior, exterior, or on the circle (x 2)2 (y – 3)2 = 81? p(8, 4) click on the graphic to choose the correct answer.

Answers

  1. From the equation we see that the center of the circle is at (-2,3) and the radius is 9.
    So using the distance formula we can see if the distance from the center to the point (8,4) is 9 units from the center of the circle
    d^2=(8–2)^2+(4-3)^2  and d^2=r^2=81 so
    81=10^2+1^2
    81=101  which is not true…
    So the point (8,4) is √101≈10.05 units away from the center, which is greater than the radius of the circle.  
    Thus the point lies outside or on the exterior of the circle…
    To learn about circle from the given link
    #SPJ4

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