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If the function f(x)=2x^(3)-9ax^(2)+12a^...

If the function `f(x)=2x^(3)-9ax^(2)+12a^(2)x+1`, where `a gt0` attains its maximum and minimum at p and q respectively such their `p^(2)=q`, then a equals :

A

1

B

2

C

`(1)/(2)`

D

3

Text Solution

Verified by Experts

The correct Answer is:
B
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MODERN PUBLICATION-APPLICATION OF DERIVATIVES -Multiple Choice Questions LEVEL-II
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  2. If log(0.3) (x-1) lt log(0.09) (x-1), then x lies in the interval :

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  3. The angle of intersection of the two curves xy=a^(2) and x^(2)-y^(2)=2...

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  4. The length of subtangent to the curve x^(2)+xy+y^(2)=7 at (1, -3) is ...

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  5. The equation 3x^(2)+4ax+b=0 has atleast one root in (0, 1) if :

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  6. The curve y-e^(xy)+x=0 has a vertical tangent at the point :

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  7. If the normal to the curve y = f(x) at the point (3, 4) makes an angle...

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  8. If x+y=k is normal to y^(2)=12x, then k is :

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  9. The two curves x^(3)-3xy^(2)+2=0 and 3x^(2)y-y^(3)-2=0:

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  10. The greatest distance of the point P(10, 7) form the circle x^(2)+y^(...

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  11. The greatest value of f(x)=(x+1)^(1//3)-(x-1)^(1//3) on [0, 1] is :

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  12. The point(s) on the curve y^(3)+3x^(2)=12y, where the tangent is verti...

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  13. If the function f(x)=2x^(3)-9ax^(2)+12a^(2)x+1, where a gt0 attains it...

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  14. If minimum value of f(x)=x^(2)+2bx+2c^(2) is greater than maximum valu...

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  15. The line 2x+sqrt(6)y=2 is a tangent to the curve x^(2)-2y^(2)=4. The p...

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  16. A spherical iron ball 10 cm in radius is coated with a layer of ice of...

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  17. Suppose the cubic x^(3)-px+q has three distinct real roots, where p gt...

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  18. The total number of local maxima and local minima of the function : ...

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  19. Let the function g:(-oo, oo) to (-(pi)/(2), (pi)/(2)) be given by g(u)...

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  20. Given P(x)=x^(4)+ax^(3)+ + bx^(2)+cx+d such that x =0 is the only real...

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