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If | vec a|=sqrt(3)\ | vec b|=2\ \ and ...

If `| vec a|=sqrt(3)\ | vec b|=2\ \ ` and ` vec a.vec b=sqrt(3,)\ ` find the angle between ` vec a` and ` vec b`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
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  2. If A=[[1, 2],[ 4, 2]], then find the value of k if |2A|=k\ |A|

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  3. If | vec a|=sqrt(3)\ | vec b|=2\ \ and vec a.vec b=sqrt(3,)\ find t...

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  8. Evaluate int1^4(x^2-\ x)\ dx as a limit of sums.

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  9. If Delta=|[5, 3 ,8],[ 2, 0 ,1],[ 1 ,2 ,3]| , write the minor of the el...

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  10. Evaluate : int(1-x)sqrt(x)\ dxdot

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  11. Evaluate: int0^(pi/4)(sinx+cosx)/(9+16sin2x)dx

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  12. Find lambda where projection of vec (a) = lambda hat (i) + hat (j) ...

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  13. If a line has direction ratios 2, –1, –2, then what are its directi...

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  14. Write the vector equation of the line given by (x-5)/3=(y+4)/7=(z-6...

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  15. Prove that: tan^(-1)[(sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))]=pi/4...

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  16. Using properties of determinants, solve the following for x: |[x-2, ...

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  17. If x=tan(1/alogy)\ , show that (1-x^2)(d^2\ y)/(dx^2)+(2x-a)(dy)/(dx)=...

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  18. Evaluate: int0^(pi/2)(x+sinx)/(1+cosx)

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  19. Solve the following differential equation: x\ dy-y\ dx=sqrt(x^2+y^2...

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  20. Solve the following differential equation: (y+3x^2)(dx)/(dy)=x

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