If the line x=y=z intersect the line xsi...

If the line `x=y=z` intersect the line `xsinA+ysinB+zsinC-2d^(2)=0=xsin(2A)+ysin(2B)+zsin(2C)-d^(2),` where A, B, C are the internal angles of a triangle and `"sin"(A)/(2)"sin"(B)/(2)"sin"(C)/(2)=k` then the value of `64k` is equal to

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The correct Answer is:

`(4)`

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