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Maths

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A circle C has center at the origin and radius 9. Another circle K has a diameter with one end at the origin and the other end at the point (0,17). The circles C and K intersect in two points. Let P be the point of intersection of C and K which lies in the first quadrant. Let (r,theta) be the polar coordinates of P, chosen so that r is positive and 0<theta<2 inclusive. Find r and theta.

  • Maths -

    WEll, r has to be 9(center with radius 9)

    x^2+y^2=9
    x^2+(y-17/2)^2= (289/4)
    subtract the first equation from the second

    (Y-17/2)^2-y^2=289/4 - 9
    -17y+289/4=289/4-9
    y= 9/17 at the point of intersection.


    sinTheta= 9/17*3= 9/51
    check my work.

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