1

AIEEE 2003

MCQ (Single Correct Answer)

+4

-1

If the function $$f\left( x \right) = 2{x^3} - 9a{x^2} + 12{a^2}x + 1,$$ where $$a>0,$$ attains its maximum and minimum at $$p$$ and $$q$$ respectively such that $${p^2} = q$$ , then $$a$$ equals

2

AIEEE 2002

MCQ (Single Correct Answer)

+4

-1

The maximum distance from origin of a point on the curve

$$x = a\sin t - b\sin \left( {{{at} \over b}} \right)$$

$$y = a\cos t - b\cos \left( {{{at} \over b}} \right),$$ both $$a,b > 0$$ is

$$x = a\sin t - b\sin \left( {{{at} \over b}} \right)$$

$$y = a\cos t - b\cos \left( {{{at} \over b}} \right),$$ both $$a,b > 0$$ is

3

AIEEE 2002

MCQ (Single Correct Answer)

+4

-1

If $$2a+3b+6c=0,$$ $$\left( {a,b,c \in R} \right)$$ then the quadratic equation $$a{x^2} + bx + c = 0$$ has

Questions Asked from Application of Derivatives (MCQ (Single Correct Answer))

Number in Brackets after Paper Indicates
No. of Questions

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