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Prove that the following. [[a-b-c,2a,2a]...

Prove that the following. `[[a-b-c,2a,2a],[2b,b-c-a,2b],[2c,2c,c-a-b]]=(a+b+c)^3`

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MODERN PUBLICATION-TEST PAPER 4-PROBLEM
  1. Find the distance of the point (-1,-5,-10) from the point of intersect...

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  2. Let R be the relation on the set R of real numbers such that aRb iff a...

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  3. Prove that the following. [[a-b-c,2a,2a],[2b,b-c-a,2b],[2c,2c,c-a-b]]=...

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  4. Find the minimum distance of a point on the curve 2/x^2+1/y^2= 1 from...

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  5. A variable plane meets the coordinate axes at A, B, C and is at a cons...

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

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  7. If [[3,5,3],[2,4,2],[lambda,7,8]] is a singular matrix, write the valu...

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  8. Let f={(1,a),(2,b),(3,c),(4,d)} and g={(a,x),(b,x),(c,y),(d,x)} Determ...

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  9. Express the value of "cosec"("cos"^(-1) 3/5 +"cos"^(-1) 4/5) in simple...

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  10. Let x Epsilon (2 π/4, π), y=| cos x | +| sin x | what is dy/dx ?

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  11. Write the least value of a for which the function f defined by f(x)=x^...

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  12. Evaluate:int x^2 dx/x*3 +1.

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  13. Find the differential equation n whcse solution is : y = ax^2 + bx + c...

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  14. What is the projection of the line segment joining (1,3,-1) and (3,2,4...

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  15. If vec a=(2,-2,1), vec b =(2,3,6) and vec c =(-1,0,2) then what is the...

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  16. An animal feed company must produce 200kg of a mixture consisting of i...

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  17. Check if the relation R on set of real numbers, defined as R = {(a,b) ...

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  18. Verify that A=[[a,b],[c,d]] satisfies the equation A^2-(a+d)A+(ad-bc...

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  19. If A+B+C = pi, prove that [[sin^2A,cotA,1],[sin^2B,cotB,1],[sin^2C,c...

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  20. If A=[[1,2,3],[3,-2,1],[4,2,1]]"show that"A^3-23A-40I=0

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