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10-1.Circle and System of Circles
hard
Two circles with equal radii intersecting at the points $(0, 1)$ and $(0, -1).$ The tangent at the point $(0, 1)$ to one of the circles passes through the centre of the other circle. Then the distance between the centres of these circles is
A
$1$
B
$2$
C
$2\sqrt 2$
D
$\sqrt 2$
(JEE MAIN-2019)
Solution

The two circle will be orthogonal
$OB=1$
$\therefore $ $OA=OB=OD=1$
$ \Rightarrow $ $AB=2$
Standard 11
Mathematics