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Q.

The value of 'x' for which the angle between a = 2x2i + 4xj + k and b = 7i  2j +xk is obtuse and the angle between b and Z-axis is acute and less than π/6 ,are

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a

12< x < 15

b

x>12 or x < 0 
 

c

0<x<12

d

No value of x 
 

answer is D.

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Detailed Solution

a.b<0    14x2-8x+x<0     14x2-7x<0    7x(2x-1)<0         x(0, 12)Question Image

b¯.k<π6    x49+4+x2 > 32 4x2>159+3x2    x2-159>0 x<-159   x>159          no value of x Question Image

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