Home Maths Circle and System of Circles General S tatement -1 : If three circles which are s…
Maths Circle and System of Circles General Single Correct MCQ
Published on: August 14, 2026

S tatement -1 : If three circles which are such that their centres are non-collinear, then exactly one circle exists which cuts the three circles orthogonally.

S tatement -2 : Radical axis for two intersecting circles is the common chord.

A
S tatement -1 is true, S tatement - 2 is true and S tatement - 2 is correct explanation for
S tatement - 1
B
S tatement -1 is true, S tatement - 2 is true and S tatement - 2 is not correct explanation for S tatement - 1
C
S tatement -1 is true, S tatement - 2 is false
D
S tatement - 1 is false, S tatement - 2 is true

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Text Solution

Verified by Experts
The correct answer is:
D

Statement-1 : There is exactly one circle whose centre is the radical centre and the radius equal to the length of tangent drawn from the radical centre to any of the given circles.

Statement-2 is True But does not explain Statement-1.

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