Let 
be a circle passing through 
and 
is a circle of radius 
units such that 
is common chord of 
and 
. Find the equation of 
.
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
Equation of line AB is
y – 2 = 
(x + 2) = – 
(x + 2) ⇒ x + 2y – 2 = 0......(i)
Equation of circle whose diagonally opposite points are A and B:
(x – 0) (x + 2) + (y – 1) (y – 2) = 0
….(ii)
Family of circles passing through the points of intersection of Eqs. (i) and (ii)
Equation (iii), represents a circle of radius 
units
⇒ 
= 
⇒ (4 + 4 λ + λ 2 ) + (4 λ 2 + 9 – 12 λ ) + 8 λ – 8 = 40
⇒ λ = ± 
Hence, required circles are
There are two such circles possible.
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