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Using integration, find the area of t...

Using integration, find the area of the region: `{(x , y):9x^2+y^2lt=36\ "and"\ 3x+ygeq6}`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Using matrices, solve the following system of linear equations: 3x-2...

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  2. Show that the lines (x+3)/(-3)==(z-5)/5;(x+1)/(-1)=(y-2)/2=(z-5)/5 are...

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  3. Using integration, find the area of the region: {(x , y):9x^2+y^2l...

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  4. Consider the binary operations ** \: R\ xx\ R -> R and o\ : R\ xx\ R ...

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  5. Evaluate: intx^2\ dotcos^(-1)\ x\ dx

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  6. Evaluate : int1/(x+xlogx)\ dx

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  7. Find the area of the greatest rectangle that can be inscribed in an...

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  8. If the binary operation **, defined on Q, is defined as a**b=2a+b-a ...

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  9. Find the value of the following: tan (1/2)[sin^(-1) ((2x)/(1+x^2))+c...

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  10. Evaluate : int0^1 1/(sqrt(2x+3))\ dx

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  11. Find a unit vector in the direction of vec a=2 hat i-\ 3 hat j+6 hat ...

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  12. If [[y+2x,5],[-x,3]]=[[7, 5],[-2 ,3]], find the value of y

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  13. Find the position vector of a point R which divides the line joinin...

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  14. Find the Cartesian equation of the plane passing through the points...

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  15. What is the cosine of the angle which the vector sqrt(2) hat i+ hat j+...

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  16. On a multiple choice examination with three possible answers (out o...

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  17. If A=(a(i j))= [[2, 3,-5],[1, 4, 9],[ 0, 7,-2]] and B=(b(i j))=[[2, 1,...

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  18. Using elementary row operations, find the inverse of the following ...

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  19. Let Z be the set of all integers and R be the relation on Z defined as...

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  20. Evaluate : int(pi//6)^(pi//3)(sinx+cosx)/(sqrt(sin2x))\ dxdot

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