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Find the number of solutions of the equa...

Find the number of solutions of the equation `e^(2x) + e^x-2=[{x^2 + 10x + 11}]` is(where, {x} denotes fractional part of x and [x] denotes greatest integer function) (a)0 (b)1 (c)2 (d)3

A

0

B

1

C

2

D

3

Text Solution

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The correct Answer is:
B
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ARIHANT MATHS-FUNCTIONS-Exercise (Single Option Correct Type Questions)
  1. The area between the curve 2{y} =[x] +1,0 leq y lt 1, where {.} and [....

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  2. If f(x)=sin^(-1)x and g(x)=[sin(cosx)]+[cos(sinx)], then range of f(g(...

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  3. Find the number of solutions of the equation e^(2x) + e^x-2=[{x^2 + 10...

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  4. Total number of values of x, of the form 1/n, n in N in the interval ...

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  5. The sum of the maximum and minimum values of the function f(x)=1/(1+(2...

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  6. Let f : X rarr Y be an invertible function. Show that the inverse of ...

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  7. The range of values of a so that all the roots of the equations 2x^(3)...

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  8. If f(x) is continuous such that abs(f(x)) le 1, forall x in R " and " ...

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  9. Let f(x)=sqrt(|x|-{x})(w h e r e{ } denotes the fractional part of (x)...

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  10. If the graphs of the functionsy= log (e)x and y = ax intersect at exac...

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  11. A quadratic polynomial maps from [-2,3] onto [0,3] and touches X-axis ...

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  12. The range of the function y=sqrt(2{x}-{x}^2-3/4) (where, denotes the f...

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  13. Let f(x) be a fourth differentiable function such f(2x^2-1)=2xf(x)AA x...

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  14. The number of solutions of the equation [y+[y]]=2cosx, where y=(1)/(3)...

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  15. If a function satisfies f(x+1)+f(x-1)=sqrt(2)f(x), then period of f(x)...

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  16. If x and alpha are real, then the inequation log(2)x+log(x)2+2cos al...

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  17. The range of values of ‘a' such that (1/2)^|x|= x² - a is satisfied f...

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  18. Let f:R rarr R be a function defined by f(x)={abs(cosx)}, where {x} re...

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  19. The domain of the function f(x)=sqrt(log(sinx+cosx)(abs(cosx)+cosx))...

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  20. If f(x)=(x^(2)+2alphax+alpha^(2)-1)^(1//4) has its domain and range su...

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