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Using matrices, solve the following syst...

Using matrices, solve the following system of equations: `x+y+z=6`; `x+2z=7`; `3x+y+z=12`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. If x^y=e^(x-y), show that (dy)/(dx)=(logx)/({log(x e)}^2)

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  2. Obtain the inverse of the following matrix, using elementary operation...

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  3. Using matrices, solve the following system of equations: x+y+z=6; x...

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  4. Find the value of p , if (2 hat i+6 hat j+27 hat k) x ( hat i+3 hat j+...

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  5. Write the direction cosines of a line equally inclined to be three ...

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  6. Let* be a binary operation on N given by a*b = HCF(a ,\ b)\ a ,\ b\...

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  7. Find the value of x, If [[3x+y,-y],[2y-x,3]]=[[1,2],[-5,3]]

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  8. Write the value of the following determinant |(a-b,b-c,c-a),(b-c,c-a,a...

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  9. Find the value of x, from the following: |(x,4),(2,2x)|=0

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  10. Evaluate: int(cossqrt(x))/(sqrt(x))\ dx

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  11. Write the principal value of, cos^(-1)\ (cos(7pi)/6)

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  12. A card from a pack of 52 cards is lost. From the remaining cards of...

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  13. From a lot of 10 bulbs, which includes 3 defectives, a sample of 2 ...

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  14. Solve the following differential equation: (x^3+y^3)dy-x^2y dx=0

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  15. Evaluate: inte^(2x)sinx\ dx

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  16. Evaluate: int(3x+5)/sqrt(x^2-8x+7)\ dx

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  17. Find the distance of the plane 3x- 4y+12 z=3 from the origin.

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  18. Using properties of determinants, Find |(b+c,a,a),(b,c+a,b),(c,c,a+b)|

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  19. If x=a(cos t+t sin t) and y=a(sin t - t cos t), then (d^2y)/dx^2

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  20. A ladder 5 m long is leaning against a wall. The bottom of the ladd...

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