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Find the area of the region {(x , y)\ : ...

Find the area of the region `{(x , y)\ : x^2+y^2lt=4,\ x+y\ geq2}`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Two cards are drawn simultaneously (without replacement) from a wel...

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  2. Using matrices, solve the following system of equations: 2x+3y+3z=5;...

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  3. Find the area of the region {(x , y)\ : x^2+y^2lt=4,\ x+y\ geq2}

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  4. If the lines (x-1)/(-3)=(y-2)/(-2k)=(z-3)/2 and (x-1)/k=(y-2)/1=(z-3)...

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  5. Sand is pouring from a pipe at the rate of12\ c m^3//s . The falling s...

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  6. Write the value of tan(2tan^-1(1/5)) .

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  7. Find (dy)/(dx)\ if (x^2+y^2)^2=x y

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  8. If y=3cos(logx)+4sin(logx),\ then show that x^2(d^2\ y)/(dx^2)+x(dy...

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  9. If x^m y^n=(x+y)^(m+n), prove that (dy)/(dx)=y/x .

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  10. Evaluate: int(3x-1)/((x+2)^2)\ dx

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  11. Evaluate: intx^2tan^(-1)x\ dx

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  12. If the binary operation "." on the set of integers Z , is defined by...

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  13. If int0^1(3x^2+2x+k)dx=0, find the value of k

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  14. Evaluate : int0^(pi/2)(xsinxcosx)/(sin^4x+cos^4x)\ dx

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  15. Evaluate: int0^(pi/2)2sinxcosxtan^(-1)(sin"x")" dx"

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  16. Find the projection of vec a on vec b , if vec a . vec b =8 and vec b=...

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  17. Evaluate : int(sec^2x)/(3+tanx)\ dx

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  18. Using principal value, evaluate the following: sin^(-1)(sin ((3pi)/5...

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  19. Write the value of the determinant |[2, 3, 4],[ 5, 6, 8],[ 6x,9x, 12 x...

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  20. If matrix A=[1\ 2\ 3],\ write A A', where A ' is the transpose of m...

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