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

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