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Using properties of determinants prove ...

Using properties of determinants prove the
following.
`abs[[b+c,a,a],[b,c+a,b],[c,c,a+b]]=4abc`

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Using properties of determinants prove the following. abs[[1,a,bc],[1,b,ca],[1,c,ab]]=(a-b)(b-c)(c-a)

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using properties of determinants, prove that abs[[1,a,a^2],[1,b,b^2],[1,c,c^2]]=(a-b)(b-c)(c-a) .

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By using properties of determinants, prove that |[-a^2,ab,ac],[ba,-b^2,bc],[ca,cb,-c^2]|=4a^2b^2c^2

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Using properties of determinants, prove that |[3a,-a+b,-a+c],[-b+a,3b,-b+c],[-c+a,-c+b,3c]| = 3(a+b+c)(ab+bc+ca)

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MAXIMUM PUBLICATION-MODEL QUESTION-EXAMPLE
  1. Which of the following is the solution of the differential equation dy...

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  2. From the differential equation representing the family of curves y=a...

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  3. Using properties of determinants prove the following. abs[[b+c,a,...

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  4. Write a function which is not continuous at x=0 and justify your ans...

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  5. Check the continuity of the function f(x)={(x,+,2,if,x,<,0),(-x,+,2,...

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  6. Consider the arrow diagram of the functions f and g. Write the fu...

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  7. If alpha,beta,gamma are the direction angles of a vector, then which...

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  8. Find the direction cosines of the line passing through the points (2...

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  9. If tan^-1x=pi/10,then the value of cot^-1x is

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  10. Find the value of sin(2tan^-1frac(2)(3))+cos(tan^-1sqrt3)

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  11. Let A={-1,0,1} Give reason why the operation defined by aastb=a/b ...

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  12. Let A={-1,0,1} Write a binary operation ast on A.

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  13. Let A={-1,0,1} How many binary operations are possible on A?

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  14. Find the equation of a line L passing through the points (-1,0,2) and ...

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  15. Find dy/dx of the following: y=sec(tanx)

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  16. Find dy/dx of y^x=x^y

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  17. Find inttan^-1xdx

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  18. Find the area bounded by the curve y=tan^-1x with X-axis from x=0 an...

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  19. Consider the DE(x^2+y^2)dx=2xydy Solve the DE completely

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  20. Consider a plane which is rquidistant from the points (1,2,1) and (3...

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