Published by:
CGP EDU Academic Team
Published on: August 13, 2026
In the given figure the equation of the larger circle is x 2 + y 2 + 4y – 5 = 0 and the distance between centers is 4 then the equation of smaller circle is -
A
(x – 
) 2 + (y – 1) 2 = 1
) 2 + (y – 1) 2 = 1
B
(x + 
) 2 + (y – 1) 2 = 1
) 2 + (y – 1) 2 = 1
C
x 2 + y 2 = 2 
x + 2y
x + 2y
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
A
C 1 C 2 = r 1 + r 2 = 4
3 + r 2 = 4
r 2 = 1
C 1 C 2 = 4
λ 2 + 9 = 16
λ = ± 
centre C 1 ( 
, 1)
equation of C 1
(x – 
) 2 + (y – 1) 2 = 1
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