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56.

If   a=xˆi+yˆj+zˆk, then 

 (a׈i).(ˆi+ˆj)+(a׈j).(ˆj+ˆk)+(a׈k).(ˆk+ˆi)=


A) x-y+z

B) x+y+z

C) x+y-z

D) -x+y+z



57.

The area of the region bounded by the curves x=y^{2}-2 and x=y is 


A) \frac{9}{4}

B) 9

C) \frac{9}{2}

D) \frac{9}{7}



58.

The sum of the complex roots of the equations (x-1)^{3}+64=0 is 


A) 6

B) 3

C) 6i

D) 3i



59.

The sides of a triangle are in the ratio 1:\sqrt{3}:2 . Then the  angles are in the ratio


A) 1:2:3

B) 1:2:4

C) 1:4:5

D) 1:3:5



60.

\int x^{4}e^{2x} dx=


A) \frac{e^{2x}}{4}(2x^{4}-4x^{3}+6x^{2}-6x+3)+C

B) \frac{e^{2x}}{2}(2x^{4}-4x^{3}+6x^{2}-6x+3)+C

C) \frac{e^{2x}}{8}(2x^{4}+4x^{3}+6x^{2}+6x+3)+C

D) -\frac{e^{2x}}{4}(2x^{4}+4x^{3}+6x^{2}+6x+3)+C



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