A,B and C all lie on the line x^2 + y^2 = 49 where A is on the y axis, B is on the X axis and C is the mid point of the straight-line connecting A and B.
As we know that A and B are on the axis so sub in X=0 and Y=0 into the equation to solve for the co-ordinates A and B.For A 02+y2=49y= square root of 49 = 7Do the same for B, which gives: A= (0,7) B= (7,0)To find the midpoint between A and B, we simply add the x coordinates and divide by 2 and do the same for the y coordinates.Xc = (0+7)/2Yc= (7+0)/2So C= (3.5,3.5)
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