1

AIEEE 2004

MCQ (Single Correct Answer)

+4

-1

A function $$y=f(x)$$ has a second order derivative $$f''\left( x \right) = 6\left( {x - 1} \right).$$ If its graph passes through the point $$(2, 1)$$ and at that point the tangent to the graph is $$y = 3x - 5$$, then the function is

2

AIEEE 2004

MCQ (Single Correct Answer)

+4

-1

If $$2a+3b+6c=0$$, then at least one root of the equation

$$a{x^2} + bx + c = 0$$ lies in the interval

$$a{x^2} + bx + c = 0$$ lies in the interval

3

AIEEE 2004

MCQ (Single Correct Answer)

+4

-1

The normal to the curve x = a(1 + cos $$\theta $$), $$y = a\sin \theta $$ at $$'\theta '$$ always passes through the fixed point

4

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

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

Number in Brackets after Paper Indicates No. of Questions

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