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If x is real show that the expressions (...

If x is real show that the expressions `((x-1)(x+3))/((x-2)(x+4))` has no value between `4/9` and 1.

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The correct Answer is:
`(4)/(9) and 1`
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ARIHANT SSC-THEORY OF EQUATIONS-EXERCISE(LEVEL 2)
  1. If x is real show that the expressions ((x-1)(x+3))/((x-2)(x+4)) has n...

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  2. The set of real values of x satisfying the equation |x-1|^(log3(x^2)-...

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  3. If the roots of 10x^3-cx^2-54x -27 0 are in harmonic progression, then...

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  4. Find the number of pairs for (x, y) from the followoing equations : ...

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  5. Find all real numbers x which satisty the equation. 2log2log2x+log(1/2...

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  6. Solve |x^2+4x+3|+2x+5=0.

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  7. The real numbers x1, x2, x3 satisfying the equation x^3-x^2+b x+gamma=...

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  8. For all x in (0, 1)

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  9. What is the average of the first six prime numbers ?

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  10. Let a, b, c be real, if ax^(2)+bx+c=0 has two real roots alpha, beta, ...

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  11. If p, q are the roots of equation x^2 + px + q = 0, then value of p mu...

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  12. If p ,q ,r are positive and are in A.P., the roots of quadratic equati...

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  13. The sum of all the real roots of the equation |x-2|^2+|x-2|-2=0 is

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  14. Let pa n dq be the roots of the equation x^2-2x+A=0 and let ra n ds be...

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  15. If the roots of the equation x^2-2a x+a^2-a-3=0 are ra and less than 3...

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  16. If alpha and beta (alpha lt beta) are the roots of the equation x^(2) ...

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  17. If b gt a, then the equation (x-a)(x-b)-1=0, has

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  18. Let alphaa n dbeta be the roots of x^2-x+p=0a n dgammaa n ddelta be th...

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  19. If α,β are the roots of x^(2)-x+2=0 then α^3 β+αβ^3

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  20. Given that alpha, gamma are roots of the equation Ax^(2)-4x+1=0 and be...

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  21. Let alpha,beta be the roots of the equation (x-a)(x-b)=c ,c!=0 Th...

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