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Using matrices, solve the following syst...

Using matrices, solve the following system of linear equations: `x - y+2z=7`; `3x+4y- 5z=-5`; `2x - y+3z=12`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Write the value of tan^(-1)[2sin(2cos^(-1)(sqrt(3/2))] .

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  2. For what value of x is the matrix A=[(0,1,-2),(1,0,3),(x,3,0)] a skew-...

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  3. Using matrices, solve the following system of linear equations: x - ...

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  4. Write the differential equation representing the family of curves y...

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  5. If A(ij) is the cofactor of the element a(ij) of the determinant |(2,-...

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  6. P and Q are two points with position vectors 3 vec a-2 vec b and v...

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  7. Show that the differential equation 2y e^(x/y)\ dx+(y-2x e^(x y) ) dy=...

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  8. Sketch the graph of y=|x+3| and evaluate the area under the curve ...

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

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  10. Evaluate: int(xsin^(-1)x)/(sqrt(1-x^2))\ dx

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  11. Using differentials, find the approximate value of f(2. 01), where ...

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  12. Find the equation of the tangent to the curve y=sqrt(4x-2)\ which ...

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  13. Prove the following: tan^(-1)sqrt(x)=1/2cos^(-1)((1-x)/(1+x)),\ x\ \ ...

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  14. Prove the following: cos^(-1)((12)/(13))+sin^(-1)(3/5)=sin^(-1)((56)/...

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  15. An aeroplane can carry a maximum of 200 passengers. A profit of Rs....

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  16. Often it is taken that a truthful person commands, more respect in ...

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  17. integrate thisint ( x^2+1)/(x^2-5x+6)dx

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  18. In a group of 50 scouts in a camp, 30 are well trained in first aid...

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  19. students were selected from a school on the basis of values for giving...

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  20. Find the area enclosed by the parabola 4y=3x^2 and the line 2y=3x+12.

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