1
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
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 :
A
$${\left( {x + 1} \right)^2}$$
B
$${\left( {x - 1} \right)^3}$$
C
$${\left( {x + 1} \right)^3}$$
D
$${\left( {x - 1} \right)^2}$$
2
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
If $$2a+3b+6c=0$$, then at least one root of the equation
$$a{x^2} + bx + c = 0$$ lies in the interval
A
$$(1, 3)$$
B
$$(1, 2)$$
C
$$(2, 3)$$
D
$$(0, 1)$$
3
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
The normal to the curve x = a(1 + cos $$\theta $$), $$y = a\sin \theta $$ at $$'\theta '$$ always passes through the fixed point
A
$$(a, a)$$
B
$$(0, a)$$
C
$$(0, 0)$$
D
$$(a, 0)$$
4
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
The real number $$x$$ when added to its inverse gives the minimum sum at $$x$$ equal :
A
-2
B
2
C
1
D
-1
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