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The line joining A( b cos alpha, b sin a...

The line joining `A( b cos alpha, b sin alpha) and B( a cos beta, alpha sin beta)`, where `a ne b` is produced to the point M (x,y) so that `AM:MB= b:a`. Then `x"cos" (alpha+beta)/(2)+y"sin" (alpha+ beta)/(2)` is equal to

A

0

B

1

C

`-1`

D

`a^(1)+b^(2)`

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