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If f(x)=alog|x|+b x^2+x has its extremum...

If `f(x)=alog|x|+b x^2+x` has its extremum values at `x=-1a n dx=2,` then `a=2,b=-1` `a=2,b=-1//2` `a=-2,b=1//2` (d) none of these

A

(2, 1)

B

`(2, -1/2)`

C

`(-2, 1/2)`

D

none of these

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The correct Answer is:
B
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FIITJEE-APPLICATION OF DERIVATIVE-Assignment Objective (level-1)
  1. The equation of normal to the curve x+y=x^y , where it cute the ...

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  2. If f(x)=alog|x|+b x^2+x has its extremum values at x=-1a n dx=2, then ...

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  3. The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in

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  4. If x=1/2 then (1-2x)/(1-x+x^(2))+ (2x-4x^(3))/(1-x+x^(4)) + (4x^(3)-8...

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  5. If f(x) = x^(a) log x and f(0) = 0 then the value of alpha for which ...

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  6. In [0, 1] Lagrange's mean value theorem is not applicable to

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  7. The largest term is the sequence T(n) = n/(n^(2)+100) is

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  8. The line 2y = ax+b is a tangent to parabola y^(2) = 4ax(a in N), then ...

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  9. If the line ax +by+c = 0 where a, b, c inR and a, b,c notin 0 is a no...

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  10. A straight line is drawn parallel to the x-axis to bisect an ordinate...

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  11. A conical vessel is to be prepared out of a circular sheet of metal of...

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  12. If f(x) = x^(3) + bx^(2) + cx +d and 0lt b^(2) lt c.then in (-infty, i...

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  13. If f(x) = 1+ x/(1!) + x^(2)/(2!)+ x^(3)/(3!) + ------ + x^(n)/(n!) the...

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  14. If a,b,c are positive constants such that agtb then the maximum value...

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  15. If f(x) = x^(2) e^(-x^(2)/a^(2) is an increasing function then (for a ...

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  16. Let f(x) = |x-1| + |x-2| + |x-3| + |x-4| AA x in R. Then

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  17. Let P(x) be a polynomial of degree n with real coefficients and is non...

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  18. Let p = 144 ^(sin^(2)x) + 144^( cos^(2)x), then the number of integra...

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  19. Cosine of the angle of intersection of curves y = 3^(x-1) logx and y= ...

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  20. The equation of curve passing through (1,1) in which the subtangent is...

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