SOLUTION: 1. The points A(-3,5) and B(2,4) are on a circle whose center is at O(1,c). (i) Find two expressions for the radius of this circle. (ii) Now find the exact value c. [Hint: Bot

Question 915363: 1. The points A(-3,5) and B(2,4) are on a circle whose center is at O(1,c).
(i) Find two expressions for the radius of this circle.
(ii) Now find the exact value c. [Hint: Both points are the same distance from O.]
(iii) Write the equation of this circle.
(iv) Find any x- or y-intercepts of this circle. Explain algebraically your steps, and write a complete sentence explanation about the intercepts. Discuss both x and y!
(v) Now sketch this circle on graph paper. Label the points A, B, O and those you found in (iv), on your sketch.

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
A(-3,5)
O(1, c)
.......
B(2,4)
O(1, c)
...Distance Equal
16 + (5-c)^2 = 1 + (4-c)^2
16 + 25 - 10c + C^2 = 1 + 14 -8c + c^2
26 = 2c
13 = c
.........
B(2,4)
O(1, 13) r = sqrt( 1 + 81) = sqrt(82)
y-intercept (0,22), x-intercept: none

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