Mathematics

Problem

The common chord of two intersecting circles

C_1

and

C_2

can be seen from their centres at the angles of

90^\circ

60^\circ

respectively. If the distance between their centres is equal to

\sqrt{3} + 1

then the radii of

C_1

and

C_2

are – (A)

\sqrt{3}

and 3 (B)

\sqrt{2}

and

2\sqrt{2}

(C)

\sqrt{2}

and 2 (D)

2\sqrt{2}

and 4