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If f(x)=x^(3)+ax^(2)+bx+5sin^(2)x, AA x ...

If `f(x)=x^(3)+ax^(2)+bx+5sin^(2)x, AA x in R` is an increasing function, then …………..

A

`a^(2)-3b-15gt0`

B

`a^(2)-3b+15lt0`

C

`a^(2)-3b-15lt0`

D

`a^(2)+3b+15lt0`

Text Solution

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The correct Answer is:
B
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KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -TEXTBOOK BASED MCQS
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  2. f(x)=int(2-(1)/(1+x^(2))-(1)/(sqrt(1+x^(2))))dx then f is …………

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  3. If f(x)=x^(3)+ax^(2)+bx+5sin^(2)x, AA x in R is an increasing function...

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  4. If the function f(x)=2x^(3)-9ax^(2)+12a^(2)x+1, where a gt 0, attains ...

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  5. A rectangle has one side on the positive side of Y - axis and one side...

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  6. The function f(x)=2|x|+|x+2|-||x+2|-2|x|| has a local maximum at ……… a...

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  7. Equation of line passing through a point (1, 4) and the sum of the int...

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  8. p(x)=a(0)+a(1)x^(2)+a(2)x^(4)+…………+a(n)x^(2n) is a polynomial with rea...

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  9. A tangent drawn to the curve x=e^(t)cos t, y=e^(t) sin t at t=(pi)/(4)...

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  10. The approximate value of sin^(-1)(0.51) is ………..

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  14. If x is a real number then maximum value of (3x^(2)+9x+17)/(3x^(2)+9x+...

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  16. If the curves ax^(2)+by^(2)=1 and a'x^(2)+b'y^(2)=1 are orthogonally t...

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  18. The maximum value of 27^(cos(2x))xx81^(sin(2x)) is …………

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