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Q.

If sin−1xa=cos−1xb=tan−1yc;0

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a

1−y2yy

b

1−y2

c

1−y22y

d

1−y21+y2

answer is D.

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Detailed Solution

sin−1xa=cos−1xb=tan−1yc=sin−1x+cos-1xa+b=π2a+b , it gives tan−1y=πc2a+buse trianglecosπca+b=cos2tan−1y=1−y21+y2                                       {   formula   sin-1x +cos-1x =π2    }
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