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A circle passes through the points (-1,3)and (5,11) and its radius is 5. Then its centre is?

A circle passes through the points (-1,3)and (5,11) and its radius is 5. Then its centre is?

Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
147 Points
10 years ago

Dear tadi parthi

Let the center is (h,k)

so  (h+1)2 + (k-3)2 = (h-5)2 +(k-11)2 =52

 so (h+1)2 + (k-3)2 = (h-5)2 +(k-11)2

simplify

3h +4k=34 ...............1

 

and (h+1)2 + (k-3)2 =52

      h2 +k2 +2h -6k  =15 ..............2

solve 1st and 2nd equation

that will desired solution

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