Badiuddin askIITians.ismu Expert
Last Activity: 15 Years ago
Dear rohan
x2+y2-6x-10y+c=0
(x-3)2 +(y-5)2 = 34-c
circle does not intersect the co ordinate axis so √(34-c) <3
or 34-c<9
or c >25
and 1,4 lie inside the circle so redius of circle must be greater then distance between the point (1,4) and (3,5)
√(34-c)> √(3-1)2 +(5-4)2
34-c >√5
c < 34- √5
so 25 < c < 34- √5
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