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Evaluate : sin[pi/3-sin^(-1) (-1/2)]...

Evaluate : `sin[pi/3-sin^(-1) (-1/2)]`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Using properties of determinants, prove the following |(alpha,beta,ga...

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  2. If "f"("x")=x+7 and g(x)=x-7,\ x\ \ R , find (fog)(7)

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  3. Evaluate : sin[pi/3-sin^(-1) (-1/2)]

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  4. Find the value of x and y If : 2[[1,3],[0,x]]+[[y,0],[1,2]]=[[5,6],[1...

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  5. Evaluate |(a+ib,c+id),(-c+id,a-ib)|

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  6. Find the cofactor of a12 in the following |(2,-3,5),(6,0,4),(1,5,-7)|

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  7. Evaluate int(x^2)/(1+x^3)dx" "

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  8. Evaluate : int0^1(dx)/(1+x^2)

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  9. A factory owner purchases two types of machines, A and B for his fa...

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  10. An insurance company insured 2000 scooter drivers, 4000 car drivers...

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  11. Evaluate: int(-a)^a\ sqrt((a-x)/(a+x))\ dx\ \

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  12. Find the equation of the plane passing through the point (3,4,1) an...

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  13. Find the equation of the plane passing through the point (-1,-1,2) ...

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  14. Find the shortest distance between the following lines: (x-3)/1=(y-5)/...

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  15. Find the point on the line (x+2)/3=(y+1\ )/2=(z-3\ )/2 at a distanc...

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  16. Evaluate : intsec^2(7-4x)dx

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  17. Write the adjoint of the following matrix: [[2,-1],[4,3]]

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  18. Write the value of the following integral: int(-pi/2)^(pi/2)sin^5x\ dx

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  19. A is a square matrix of order 3\ and |A|=7. Write the value of ...

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  20. If f\ : R-: R be defined by f(x)=(3-x^3)^(1//3)\ , then find fof(x)

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