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Find x, so that [{:(1,x,1):}][{:(1,3,2),...

Find `x`, so that `[{:(1,x,1):}][{:(1,3,2),(0,5,1),(0,3,2):}][{:(1),(1),(x):}]=O`

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Solve the matrix [{:(x,-5,-1):}][{:(1,0,2),(0,2,1),(2,0,3):}][{:(x),(4),(1):}]=O .

Find the matrix A satisfying the equation [{:(2,1),(3,2):}].A.[{:(-3,2),(5,-3):}]=[{:(1,0),(0,1):}]

Find x,y,z and t, if 2[{:(x,z),(y,t):}]+3[{:(1,-1),(0,2):}]=3[{:(3,5),(4,6):}] .

Find the 2xx2 matrix X, if X+[{:(0,1),(1,0):}]=[{:(2,0),(0,2):}]

If [{:(2x,y),(1,3):}]+[{:(4,2),(0,-1):}]=[{:(8,3),(1,2):}] , find x and y .

If [{:(x_(1),x_(2)),(y_(1),y_(2)):}]-[{:(2,3),(0,1):}]=[{:(3,5),(1,2):}] determine x_(1),x_(2),y_(1),y_(2) .

A=[{:(1,0,-2),(2,3,-1):}],B=[{:(4,-1,3),(0,2,1):}]andC=[{:(2,-3,0),(1,4,5):}] , find A-3B+2C

SHARAM PUBLICATION-MODEL QUESTION PAPER 14-EXERCISE
  1. Solve for x tan^(-1)(x+2)+tan^(-1)(x-2)=tan^(-1)(8/79),x>0.

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  2. Solve the following LPP graphically Maximize, Z=20x+30y Subject to...

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  3. Find x, so that [{:(1,x,1):}][{:(1,3,2),(0,5,1),(0,3,2):}][{:(1),(1),(...

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  4. If A =[[1,2,2],[2,1,2],[2,2,1]] then prove that A^2-4A-5I=0.

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  5. Prove that:|[1, a ,a^2],[a^2, 1 ,a],[a, a^2, 1]| is a perfect square.

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  6. Solve for x, |{:(15-2x,11,10),(11-3x,17,16),(7-x,14,13):}|=0

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  7. If sin y = x sin (a + y) then show that (dy)/(dx)=(sin^2(a+y))/(sina)

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  8. If x=a(cost+tsint) and y=a(sint-tcost), then find (d^(2)y)/(dx^(2)) at...

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  9. Find the equation of tangent to the curve x^2 + 3y = 3 which is parall...

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  10. Find the extreme values of the function y = X + 1/x.

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  11. int0^1(x^5(4-x^2))/sqrt(1-x^2)dx

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  12. Integrate the following intsec^2sqrtx/sqrtxdx

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  13. intx^2tan^-1xdx

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  14. Solve (dy)/(dx)+y=e^(-x)

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  15. Using vector method find the area of the triangle with vertices (1, 0,...

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  16. Find [veca vecb vecc] when veca= hati -2hatj + 3hatk, vecb=2hati+ hatj...

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  17. Find the image of the point (2,-1,3) in the plane 3x-2y+z-9=0

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  18. Find the point where the line (x-2)/1=y/(-1)=(z-1)/2 meets the plane 2...

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  19. Find the equation of the plane through the points (1, 2, -3), (2,3, -4...

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  20. Show that the relation S defined on set N xx N by (a, b) S(c,d) rArr a...

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