5
: Find the equation of the circle whose centre is(-1, 2)and which passes through (5.6).
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Answer:
Hey mate❤
Given center of circle = (-1,-2)
diameter of circle = 2(radius) =25
∴ 2r = 25
r=
2
25
circle equation for e with
center (h,k) and radius r
(x−h)
2
+(y−k)
2
=r
2
Here (h,k) = (-1,-2) r=
2
25
(x−(−1))
2
+(y−(−2))
2
=(
2
25
)
2
x
2
+2x+1+y
2
+4+4y=
4
625
x
2
+y
2
+2x+4y+5−
4
625
=0
x
2
+y
2
+2x+4y−
4
605
=0
4x
2
+4y
2
+8x+16y−605=0
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