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IF |{:(1+x,x,x^2),(x,1+x,x^2),(x^2,x,1+x...

IF `|{:(1+x,x,x^2),(x,1+x,x^2),(x^2,x,1+x):}| =a+bx+cx^2+dx^3+ex^4+fx^5` then write the value of a.

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MODERN PUBLICATION-TEST PAPER 6-EXERCISE
  1. Find the least value of n for which tan^(-1)(n/π)>π/4,n varepsilon N i...

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  2. If matrix A=[{:(1,-1),(-1,1):}]andA^(2)=kA , then write the value of k...

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  3. IF |{:(1+x,x,x^2),(x,1+x,x^2),(x^2,x,1+x):}| =a+bx+cx^2+dx^3+ex^4+fx^5...

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  4. If xin((3pi)/4,pi) what is dy/dxfor y = | cos x | + | sin x | ?

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  5. Give example of a function which is increasing in (-oo,2) and (3,oo) a...

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  6. What is the value of int e^(x)dx.

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  7. Write the solution of sqrt 3x+dy/dx=2.

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  8. Write the equation of the line passing through the points (3,-2,-5) an...

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  9. Find the volume of parallelopiped with edges 2vec i-3vec j ,vec i +vec...

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  10. Show that the relation R on the set A = {1,2,3,4,5) given by R = {(a,b...

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  11. Consider f:R(+) [4, oo] is given by f(x)= x^(2) + 4. Show that f is in...

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  12. A merchant sells two models X and Y of TV with cost price ₹ 25000 and ...

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  13. A binary operation * is defined on the set X=R-{-1} by x**y=x+y +xy,...

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  14. Prove that the following. [[b+c,a,a],[b,c+a,b],[c,c,a+b]]=4ab

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  15. Using determinants, find the values of a if the area of triangle with ...

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  16. If A,B,C are matrices of order 2xx2 each and 2A+B+C =[[1,2],[3,0]] A+B...

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  17. Using properties of determinant prove that |{:(alpha,beta,gamma),(alph...

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  18. Differentiate tan^-1((2x)/(1-x^2)).

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  19. Examine continuity and differentiability f(x)={[xsin1/x,if x!=0],[0,if...

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  20. Find dy/dx if y=(cosx)^x.

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