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Q.

If the angle between the vectors a=i^+(cosx)j^+k^ and b=sin2x-sinxi^-(cosx)j^+(3-4sinx)k^ is obtuse and x0,π2, then the exhaustive set of values of ' x ' is equal to

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a

xπ6,π3

b

xπ6,π2

c

xπ3,π2

d

x0,π6

answer is B.

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Detailed Solution

a·b<0 sin2x-sinx-cos2x+3-4sinx<0   2sin2x-5sinx+2<0  sinx-22sinx-1-ve<0   sinx>12xπ6,π2

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