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pi^e/(x-e) + e^pi/(x-pi) + (pi^pi+e^e)/(...

`pi^e/(x-e) + e^pi/(x-pi) + (pi^pi+e^e)/(x-pi-e)=0` has

A

one real root in `(e, pi)` and other in `(pi, -e, e)`

B

one real root in `(e, pi)` and other in `(pi, pi+e)`

C

two real roots in `(pi-e, pi+e)`

D

no real root

Text Solution

Verified by Experts

The correct Answer is:
B, C
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FIITJEE-QUADRATIC EQUATION & EXPRESSION -ASSIGNMENT PROBLEMS (OBJECTIVE) Level - II
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  6. If p and q are odd integers, then the equation x^2+2x+2q=0 (A) has no ...

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  7. pi^e/(x-e) + e^pi/(x-pi) + (pi^pi+e^e)/(x-pi-e)=0 has

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  8. If ax^(2)+bx+c=0 and cx^(2)+bx+a=0 (a, b, c in R) have a common non - ...

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  9. The equation (x^(2)-6x+8)+lambda (x^(2)-4x+3)=0, lambda in R has

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  11. If a, b, c are odd integers, then the roots of ax^(2)+bx+c=0, if real,...

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  12. If the equation whose roots are the squares of the roots of the cubic ...

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  13. If coefficients of the equation ax^2 + bx + c = 0 , a!=0 are real and...

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  14. If f(x) = 0 is a polynomial whose coefficients all pm 1 and whose root...

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  15. If a,b,c,d in R and all the three roots of az^3 + bz^2 + cZ + d=0 ha...

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  16. The equation a(8)x^(8)+a(7)x(8)^(7)+a(6)x^(6)+…+a(0)=0 has all its po...

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  17. Which of the following is correct for the quadratic equation x^(2)+2(a...

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  18. If (x^(2)+ax+3)/(x^(2)+x+a), takes all real values for possible real v...

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  19. If each pair of the following equations x^2+px+qr=0, x^2+qx+pr=0 and x...

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  20. If a, b, c, d are four non - zero real numbers such that (d+a-b)^(2)+(...

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