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Examine the consistency of the following...

Examine the consistency of the following systems of equations `x+y+z=1,2x+y+z=2,x+2y+2z=1` and if consistent find the complete solutions.

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SRISIRI PUBLICATION-QUESTION PAPER -Section C
  1. By Matrix inverse method, solve 3x+4y+5z = 18, 2x-y+8z=13, 5x-2y+7z = ...

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  2. Solve the system of equations x+y+z=3,2x+2y-z=3,x+y-z=1 by Gauss Jorda...

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  3. Examine the consistency of the following systems of equations x+y+z=1...

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  4. P.T the smaller angle theta between any two diagonals of a cube is giv...

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  5. If bar(a)=bar(i)-2bar(j)+3bar(k),bar(b)=2bar(i)+bar(j)+bar(k), bar(c)=...

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  6. If bar(a) = 2bar(i) + 3bar(j) + 4bar(k), bar(b) = bar(i) + bar(j) -bar...

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  7. Find the shortest distance between the skew lines . bar(r)=(6bar(i)...

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  8. If A=(1,-2,-1) , B=(4,0,-3),C= (1,2,-1),D=(2,-4,-5) then find distan...

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  9. If A+B+C= 180^(@), then show that sin 2A+ sin 2B+ sin 2C =4 sin A sin...

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  10. IF A,B,C are angles in the triangle, then prove that cosA+cosB-cosC=...

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  11. If A, B , C are angles in a triangle, then the sin ^(2)A+sin ^(2)B - s...

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  12. If A+B+ C =pi, then prove that cos ^(2) (A/2)+ cos ^(2) (B/2) +cos ^(2...

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  13. If A, B , C are angles of a triangle, then P. T sin ^(2) . (A)/(2)+ si...

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  14. In triangle ABC, prove that cos .(A)/(2)+cos.(B)/(2)+cos. (C)/(2) =4 c...

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  15. If A+B+C=(3pi)/(2), prove that cos 2A+ cos 2B+ cos 2C=1-4 sin A sin B ...

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  16. If A+B+C = 2S , then P.T cos(S-A)+cos(S-B)+cos(S-C)+cosS=4cos.(A)/(...

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  17. In a /\ABC if a = 13,b=14,c=15 then S.T R = (65)/8 , r=4, r(1) = (21)/...

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  18. If r(1) = 2, r(2) = 3, r(3) = 6 and r =1, prove that a = 3, b=4 and c ...

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  19. In DeltaABC" prove that " (r(1))/(bc)+(r(2))/(ca)+(r(3))/(ab)=(1)/(r)-...

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  20. If sin theta = a/(b+c) then show that cos theta = (2sqrt(bc))/(b+c) co...

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