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If (2x)/(x^3-1)=A/(x-1)+(Bx+C)/(x^2+x+1,...

If `(2x)/(x^3-1)=A/(x-1)+(Bx+C)/(x^2+x+1`, then

A

A=-B=C

B

`A=B ne C`

C

`A ne B=C`

D

`A ne B ne C`

Text Solution

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The correct Answer is:
A
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PATHFINDER-BASIC MATHEMATICS-QUESTION BANK
  1. If((e^x+2))/((e^x-1)(2e^x-3))=-3/(e^x-1)+B/(2e^x-3), then B=

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  2. If (2x+A)/((x-3)(x+2))=9/(5(x-3))+B/((x+2)), then

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  3. If (2x)/(x^3-1)=A/(x-1)+(Bx+C)/(x^2+x+1, then

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  4. If (3x+4)/((x+1)^2(x-1))=A/(x-1)+B/(x+1)+C/((x+1)^2, then A=

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  5. If (ax+b)/(3x+4)^2=1/(3x+4)-3/((3x+4)^2 then find a and b

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  6. If (x^3-6x^2+10x-2)/(x^2-5x+6)=f(x)+A/(x-2)+B/(x-3), then f(x)=

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  7. If (1-cosx)/(cosx(1+cosx))=(sinalpha)/(cosx)-2/(1+cos x) then alpha=

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  8. Solve the inequality ((x-1))/((x^2-4x+3)) <1

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  9. If 4^A+9^B=10^C,whereA= log16 4,B=log3 9 and C=logx 83, then find x.

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  10. Solve the following equations for 'x' : log3(log9 x+1/2 +9^x)=2x

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  11. Solve the following equations for 'x' : 2log4 (4-x)=4-log2(-2-x)

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  12. Solve the following inequalities : log(0.5)(x+5)^2gt log(1//2)(3x-1)...

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  13. Solve the following inequalities : log(1//2)log3((x+1)/(x-1))ge0

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  14. Solve the following inequalities : log((3x^2+1))2lt1/2

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  15. Solve the following inequalities : log(x^2)(2+x)lt1

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  16. Solve the equation sqrt(a(2^x-2)+1)=1-2^x for every value of the param...

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  17. Solve the following linear equations absx^2=absx+4=2x^2-3absx+1

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  18. Solve the following linear equations abs(abs(x-1)-2)=abs(x-3)

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  19. Solve the simultaneous equations abs(x+2)+y=5 and x-absy=1

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  20. Find the solution set of abs(2x-3)+abs(x+5)leabs(x-8)

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