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Using matrices, solve the following syst...

Using matrices, solve the following system of equations: `x\ -\ y+z=4;\ 2x+y\ -\ 3z=0;\ x+y+z=2`

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To solve the system of equations using matrices and Cramer's rule, we follow these steps: ### Step 1: Write the system of equations in matrix form The given equations are: 1. \( x - y + z = 4 \) 2. \( 2x + y - 3z = 0 \) 3. \( x + y + z = 2 \) ...
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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Prove the following: tan^(-1)(1/4)+tan^(-1)(2/9)=1/2cos^(-1)(3/5)

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  2. Solve the following for x : cos^(-1)((x^2 - 1)/(x^2 + 1))+t a n^(-1...

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  3. Using matrices, solve the following system of equations: x\ -\ y+z...

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  4. If A^(-1) =[(3,-1,1),(-15,6,-5),(5,-2,2)] and B = [(1,2,-2), (-1,3,0),...

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  5. A merchant plans to sell two types of personal computers - a deskto...

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  6. Given three identical boxes I, II and III each containing two coins...

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  7. Prove that: int0^(pi/4)(sqrt(tanx)+sqrt(cotx))\ dx=sqrt(2)pi/2

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  8. Find the shortest distance between the following pairs of line whose ...

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  9. Using vectors, find the area of the triangle with vertices A (1, 1,...

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  10. Using matrices, solve the following system of equations: 4x+3y+2z=60...

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  11. A random variable X has the following probability distribution: ...

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  12. A window has the shape of a rectangle surmounted by an equilateral ...

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  13. Find the distance of the point (-1,\ -5,\ -10) , from the point of int...

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  14. Show that the right-circular cone of least curved surface and given...

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  15. How many times must a man toss a fair coin, so that the probability...

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  16. Using elementary transformations, find the inverse of the matrix [[-1,...

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  17. Find the equation of the tangent to the curve y=sqrt(3x-2) which is...

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  18. Find the intervals in which the function f given by f(x)=\ x^3+1/(...

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  19. Prove that sin^(-1)(63/65)=sin^(-1)(5/13)+cos^(-1)(3/5)

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  20. Evaluate: int0^(2pi)1/(1+e^(s in x))dx

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