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Using matrices, solve the following syst...

Using matrices, solve the following system of equations: `2x+3y+3z=5; x - 2y+z=- 4; 3x- y-2z=3`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Find the coordinates of the point where the line through the points...

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  2. Two cards are drawn simultaneously (without replacement) from a wel...

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

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

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

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

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

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

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

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

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

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  13. If the binary operation * on the set of integers Z , is defined by ...

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

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

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

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  17. integrate

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

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

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

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