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If 2s=a+b+c show that [[a^2,(s-a)^2,(s...

If 2s=a+b+c show that
`[[a^2,(s-a)^2,(s-a)^2],[(s-b)^2,b^2,(s-b)^2],[(s-c)^2,(s-c)^2,c^2]]`=`2s^3(s-a)(s-b)(s-c)`

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Prove by vector method that the medians of a triangle are concurrent.

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  2. If l1,m1,n1andl2,m2,n2 are the direction cosines of two mutually perpe...

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  3. If 2s=a+b+c show that [[a^2,(s-a)^2,(s-a)^2],[(s-b)^2,b^2,(s-b)^2],[...

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  4. If A=[{:(1,-2,2),(3,1,-1):}]andB=[{:(2,4),(1,2),(3,-1):}] , then veri...

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  5. Let A={1,2,3}, which of the following functions on A is invertible?

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  6. Let A={1,2,3}, which of the following functions on A is invertible?

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  7. Let A={1,2,3}, which of the following functions on A is invertible?

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  8. Let A={1,2,3}, which of the following functions on A is invertible?

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  9. Find sin[frac[pi][2]-sin^(-1)(-frac[1][2])]

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  10. Find the number of all possible matrices of order 3xx3 with each of ...

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  11. Find the value of x if abs[[2,3],[4,5]]=abs[[x,3],[2x,5]]

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  12. If A is a square matrix of order 2, then find det(adjA).

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  13. Evaluate inte^(x)(sinx+cosx)dx.

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  14. Write the differential equation having y=C1e^x+C2e^x as its general so...

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  15. If veca is a non zero vector of magnitude abs(veca) and lambda is a no...

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  16. Find the value of haticdot(hatjtimeshatk)+hatjcdot(hatitimeshatk)+hatk...

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  17. Are the lines frac[x][1]=frac[y][2]=frac[z][3] and frac[x-1][-2]=frac[...

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  18. Solve LPP : Maximize Z=20x1+30x2 subject to constraints 3x1+5x2le15, x...

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  19. Solve sin^(-1)x +sin^(-1)(1-x) =(pi)/(2).

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  20. Let ast be a binary operation on the set of real numbers, defined by a...

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