dadonelson2109
31.05.2020 •
Mathematics
The points A-1,-9) and K(5,1) are endpoints of a diameter of circle 5. Which equation represents circle S?
A. (x - 2)2 + (y + 4)2 = 34
B. (x - 2)2 + (y + 4)2 = 136
C. (x + 2)2 + (-4)2 = 34
D. (x + 2)2 + (-4)2 = 136
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Ответ:
A
Step-by-step explanation:
if (x1,y1) and (x2,y2) are the extremities of diameter,then eq. of circle is
(x-x1)(x-x2)+(y-y1)(y-y2)=0
reqd. eq. is (x+1)(x-5)+(y+9)(y-1)=0
center is (2,-4)
r=√(2²+(-4)²-(-14))
=√(4+16+14)
=√(34)
eq. of circle is (x-2)²+(y+4)²=34
or
(x²-4x)+(y²+8y)=14
(x²-4x+4)+(y²+8y+16)=14+4+16
(x-2)²+(y+4)²=34
Ответ:
3.2
Step-by-step explanation: