MathematicsMedium127×since 2002Q3055The locus of the mid points of the chords of the circle C1:(x−4)2+(y−5)2=4{C_1}:{(x - 4)^2} + {(y - 5)^2} = 4C1:(x−4)2+(y−5)2=4 which subtend an angle θi{\theta _i}θi at the centre of the circle C1C_1C1, is a circle of radius rir_iri. If θ1=π3,θ3=2π3{\theta _1} = {\pi \over 3},{\theta _3} = {{2\pi } \over 3}θ1=3π,θ3=32π and r12=r22+r32r_1^2 = r_2^2 + r_3^2r12=r22+r32, then θ2{\theta _2}θ2 is equal to :Aπ2{\pi \over 2}2πBπ4{\pi \over 4}4πC3π4{{3\pi } \over 4}43πDπ6{\pi \over 6}6πCheck answerSkip