Given that a circle passes through the points P(3,5) and Q(-1,3) has a radius square root of 10, find the eqn of the circle
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We have given two points P(3,5) and Q(-1,3). Also radius of the circle `sqrt(10)` unit. We wish to dertermine equation of the circle.
Let equation of the circle whose centre at (h,k) and radius r be
(i) posses through P and Q ,therefore
Solving (ii) and (iii),we have
put k ,from(iv) in (iii)
`h=0 or h=2`
h=0 then k=6
h=2 then k=2
Thus there are two circles
Hence we have two circle.
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