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Using elementary transformations, find the inverse of the matrix : `[[2, 0,-1],[ 5, 1, 0],[ 0, 1, 3]]`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Find the area of the region bounded by the parabola y=x^2 and y=|x| .

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  2. Find the particular solution of the differential equation(tan^(-1)y-x)...

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  3. Using elementary transformations, find the inverse of the matrix : [...

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  4. If vec a= hat a= hat i-\ hat j+7 hat k and vec b=5 hat j-\ hat j+l...

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  5. Use product [[1,-1, 2],[ 0, 2,-3],[ 3,-2, 4]] [[-2, 0, 1],[ 9, 2,-3],[...

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  6. Find the angle between the line (x+1)/2=(3y+5)/9=(3-z)/(-6) and the ...

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  7. Solve the following differential equation: cos^2x(dy)/(dx)+y=tanx

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  8. Solve the following differential equation: e^xtany\ dx+(1-e^x)sec^2y...

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  9. Find the value of a for which the function f defined by f9x)={asinpi/...

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  10. int2/((1-x)(1+x^2))dx

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  11. Consider the binary operation ** on the set {1, 2, 3, 4, 5} defined by...

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  12. Write the intercept cut off by the plane 2x+y-z=5 on x-a xi sdot

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  13. Using properties of determinants, prove that |(-a^2,ab,ac),(ba,-b^2,bc...

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  14. Write the principal value of t a n^(-1)[t a n(3pi)/4]dot

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  15. Show that the right circular cylinder, open at the top, and of give...

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  16. The points A(4, 5, 10), B(2, 3, 4) and C (1, 2,-1) are thr...

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  17. A small firm manufactures gold rings and chains. The total number o...

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  18. Find the particular solution of the differential equation satisfyin...

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  19. Find the points on the curve y=x^3 at which the slope of the tangen...

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  20. Find the area of the region bounded by the curves x^(2)+y^(2)=4 and (x...

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