Two circles with equal radii are intersecting at the points (0,1) and (0,-1) . The tangent at the point (0…
Two circles with equal radii are 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:
1
2
$2 \sqrt{2}$
$\sqrt{2}$
Solution
$\because$ Two circles of equal radii intersect each other orthogonally. Then $R$ is mid point of $P Q$.
and $P R=O_{1} R=O_{2} R$
$P R=\frac{1}{2} \sqrt{(0-0)^{2}+(1+1)^{2}}=1$
$\therefore$ Distance between centres $=1+1=2$.
