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

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

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PATHFINDER-BASIC MATHEMATICS-QUESTION BANK
  1. 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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  2. If (1-cosx)/(cosx(1+cosx))=(sinalpha)/(cosx)-2/(1+cos x) then alpha=

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. If 3 sinalpha=5sin beta, then find the value of ("tan"(alpha+beta)/2)/...

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

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  18. Find the general solution of sin x-3 sin 2x+ sin 3x= cos x - 3 cos 2x ...

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  19. For all values of alpha,beta,gamma prove that: cos alpha + cos beta+ ...

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  20. If m tan (theta - 30^@) = n tan(theta+120^@), show that cos2theta = (m...

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