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The range of values of a so that all the...

The range of values of a so that all the roots of the equations `2x^(3)-3x^(2)-12x+a=0` are real and distinct, belongs to

A

(a) (7,20)

B

(b) (-7,20)

C

(c) (-20,7)

D

(d) (-7,7)

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The correct Answer is:
B
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ARIHANT MATHS-FUNCTIONS-Exercise (Single Option Correct Type Questions)
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  2. Let f : X rarr Y be an invertible function. Show that the inverse of ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. If f: (e,oo) rarr R & f(x)=log[log (logx)], then f is -

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  18. The expression x^2-4px+q^2> 0 for all real x and also r^2+ p^2 < qr t...

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  19. Let f(x)=(x^(4)-lambdax^(3)-3x^(2)+3lambdax)/(x-lambda). If range of f...

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  20. Let a=3^(1//224)+1 and for all n ge 3, let f(n)=""^(n)C(0)a^(n-1)-""...

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