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Express A=[(1,-1),(2,3)] as the sum of a...

Express `A=[(1,-1),(2,3)]` as the sum of a symmetric matrix and a skew symmetric matrix.

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BODY BOOKS PUBLICATION-QUESTION PAPER 2020-EXERCISE
  1. Let ** be a binary operation on the set Z of integers as a**b=a+b+1. T...

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  2. Write two non-zero matrices A and B for which AB=0.

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  3. Express A=[(1,-1),(2,3)] as the sum of a symmetric matrix and a skew s...

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  4. using properties of determinants, prove that abs[[1,a,a^2],[1,b,b^2],...

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  5. Which among the following is not true

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  6. Find dy/dx, if x^2+y^2+xy=100

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  7. Identify the following function

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  8. Identify the following function: Is the function differentiable? Why...

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  9. Find derivative of y=sqrttanx

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  10. The slope of the tangent to the curve y=e^(2x) at (0,1) is.....a)1 b)2...

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  11. Find the equation of a line perpendicular to the tangent to the curve ...

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  12. The general solution of a differential equation contains 3 arbitrary c...

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  13. Check whether y=e^(-3x) is a solution of the differential equation fra...

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  14. Consider the following figure: Find the distance of PQ.

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  15. Let A=R-{3} and B=R-{1} consider the function f:AtoB defined by f(x)=f...

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  16. Let A=R-{3}and B=R-{1}consider the function f:ArarrB defined by f(x)=(...

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  17. Let A=R-{3}and B=R-{1}consider the function f:ArarrB defined by f(x)=(...

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  18. If xy<1,tan^-1x+tan^-1y=........ a)tan^-1(frac(x-y)(1+xy)) b)tan^-1(f...

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  19. Solve tan^-1 2x+tan^-1 3x=pi/4

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  20. Find dy/dx if y=x^x+x^sinx.

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