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Exaniming consistency and solvability, solve the following equations by matrix method. `x + 2y + 3z =14`, `2x -y + 5z = 15`, `2y + 4z-3x = 13`

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MODERN PUBLICATION-TEST PAPER 1-PROBLEM
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  2. If [[x,x^2,x^3-1],[y,y^2,y^3-1],[z,z^2,z^3-1]]=0 then prove that xyz...

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  3. Exaniming consistency and solvability, solve the following equations b...

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  6. Show that the shrtest distance of the point (0, 8a) from the curve ax^...

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  7. Integrate : int(ln (x+√(x^2 + a^2))dx.

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  8. Solve the following differential equations (dy)/(dx)+2ytan x= sin x,...

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  9. Find the area of the région on closed between y = 4x-1 and y^2=2x

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  10. Find the distance of the point (3,-4,5)from the plane 2x+5y-6z-19=0 me...

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  11. Prove the following by vector method. In a triangle AOB, mangleAOB = 9...

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  13. Solve cos(2sin^(-1)x) = 1/9.

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  14. Find x and y if [[1,3],[2,-1]][[x],[y]] = [[4],[1]].

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  15. Fill in the blanks with appropriate answer from the brackes. If [[a,b...

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  16. What is the slope of the normal to the curve x^(2/3)+y^(2/3)=20 at the...

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  17. What is the value of int0^(pi/2)log tan x dx?

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  18. Write the general solution of (ydx-xdy)/y=0.

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  19. Write the distance between the plane x-2y+z=6 and 2x-4y+2z=8

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