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Solve the following inequalities : tan...

Solve the following inequalities :
`tan^2 x-(1+sqrt3)tan x+ sqrt3lt0`

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`(pi(4n+1)//4,pi(3n+1)//3(n in Z)`
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PATHFINDER-BASIC MATHEMATICS-QUESTION BANK
  1. Solve the following inequalities : (abs(x-1)-3)(abs(x+2)-5)lt0

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  2. Solve the following inequalities : sin 3x lt sin x

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  3. Solve the following inequalities : tan^2 x-(1+sqrt3)tan x+ sqrt3lt0

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  4. If x,y,z, in R such that x+y+z=4, x^2+y^2+z^2=6 then find the range of...

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  5. Complete set of values of x satisfying the inequality x-3 lt sqrt(x^...

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  6. The set of all values of x for which sqrt(-x^2+5x-6)/(sqrt(1-2{x}))ge0...

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  7. The solution of the inequality (abs(x+2)-absx)/sqrt(4-x^3)ge0 is

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  8. Exhaustive set of values of x satisfyinglogabsx(x^2+x+1)ge0 is

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  9. If (log2(4x^2-x-1))/(log2(x^2+1))gt1, then x lies in the interval

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  10. The set of values of x satisfying simultaneously the inequalities sqrt...

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  11. Let alpha=pi/3, then the solution set of the inequality log(sinalpha)(...

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  12. If f(x) =cos[pi^2]x + cos[-pi^2]x, where [x] stands for the greatest i...

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  13. log(0.5)log5(x^2-4)gtlog(0.5)1, then 'x' lies in the interval

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  14. Solution set of the inequality 2- log2(x^2+3x)ge0 is

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  15. Values of x satisfying the equation abs(logsqrt3 x-2)-abs(log3 x-2)=...

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  16. The equation sqrt(x-1)-sqrt(x-1)=sqrt(4x-1) has

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  17. The number of values of x in the interval [0,5pi] satisfying the equat...

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  18. In a Delta PQR,angleR=pi/2. If tan(P/2) and tan (Q/2) are the roots of...

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  19. The number of real roots of 3^(2x^2 -7x+7)=9 is

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  20. The number of the real solutions of the equation x^2-3absx+2=0 is

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