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If A = [(5, -1, 4), (2, 3, 5), (5, -2, ...

If ` A = [(5, -1, 4), (2, 3, 5), (5, -2, 6)]` , find `A^(-1)` and use it to solve the following system of equation `5x - y + 4z = 5, 2x + 3y +5z = 2, 5x - 2y + 6z =-1`

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Solve the following system of equations 3x - 4y + 5z = 0, x + y - 2z = 0, 2x + 3y + z = 0

Examine the consistency of the system of equations 5x -y + 4z = 5," " 2x + 3y + 5z = 2," " 5x -2y + 6z = 1

A=[3-4 2 2 3 5 1 0 1] , find A^(-1) and hence solve the following system of equations: 3x-4y+2z=-1,\ \ 2x+3y+5z=7,\ \ x+z=2

Using matrices, solve the following system of equations: 2x-3y+5z=11 , 3x+2y-4z=-5 , x+y-2z=-3

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

The following system of equations 5x-7y+3z=3, 5x+y+3z=7 and 5x+3y+2z=5 is

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

If A=[(2,-3,5),(3,2,-4),(1,1,-2)] find A^(-1) . Use it to solve the system of equations 2x-3y+5z=11 , 3x+2y-4z=-5 and x+y-2z=-3

If A=[{:(9, 7, 3), (5, -1, 4), (6, 8, 2):}]" find "A^(-1) and hence solve the system of equations: 9x+7y+3z=6, 5x-y+4z=1, 6x+8y+2z=4 .

By using determinants, solve the following system of equations: x+y+z=1 , x+2y+3z=4 , x+3y+5z=7 .

XII BOARD PREVIOUS YEAR PAPER ENGLISH-XII Boards-All Questions
  1. If f(x) = sqrt ((sec x -1)/(sec x + 1)) , find f'( pi /3)

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  2. The area of the triangle formed by the vertices O, A, and B, where vec...

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  3. If A = [(5, -1, 4), (2, 3, 5), (5, -2, 6)] , find A^(-1) and use it t...

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  4. The vectors 3hati - hatj +2hatk, 2hati+hatj+3hatk and hati+lambdahatj-...

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  5. A cottage industry manufactures pedestal lamps and wooden shades.Both ...

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  6. If x, y, z are different and Delta=|[x, x^2, 1+x^3],[y, y^2, 1+y^3],[...

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  7. Find the area of the triangle formed by O ,A ,B when vec O A= hat ...

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  8. Prove that tan^-1(1/4)+ tan^-1(2/9) = 1/2sin^-1(4/5)

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  9. Check whether the relation R in the set N of natural numbers given by ...

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  10. The function f(x) : (x-1)/(x( x^(2) -1)) is discontinuous at (a) exa...

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  11. The Integrating Factor of the differential equation x(dy)/(dx)-y=2x^2...

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  12. If I vec(a)I = 4 and -3 le lamda le 2,then Ilambda vec(a)I lies in ...

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  13. Differentiate sec^2 (x^2) with respect to x^2

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  14. If cos (sin^(-1)(2/sqrt(5)) + cos^(-1)x) = 0, then x is equal to A) ...

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  15. Evaluate : int(-pi/2)^(pi/2)xcos^2 xdx

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  16. The relation R in the set {1,2,3} given by R = {(1,2), (2,1),(1,1)} is...

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  17. The function f : R rarr [ -1,1 ] defined by f(x) = cos x is (a) both...

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  18. If the radius of the circle is increasing at the rate of 0.5 cm/s , th...

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  19. If y = f(x^2) and f'(x) = e^(sqrtx), then find (dy)/(dx)

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

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