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

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

A

x-1

B

x+1

C

x

D

x+2

Text Solution

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The correct Answer is:
A
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PATHFINDER-BASIC MATHEMATICS-QUESTION BANK
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  2. If (ax+b)/(3x+4)^2=1/(3x+4)-3/((3x+4)^2 then find a and b

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

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

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

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

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

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

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  19. If y = cos^2(45^@+x)+(sin x - cos x)^2, then find the maximum and mini...

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