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1
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
The function $$f\left( x \right) = {x \over 2} + {2 \over x}$$ has a local minimum at
A
$$x=2$$
B
$$x=-2$$
C
$$x=0$$
D
$$x=1$$
2
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Angle between the tangents to the curve $$y = {x^2} - 5x + 6$$ at the points $$(2,0)$$ and $$(3,0)$$ is
A
$$\pi $$
B
$${\pi \over 2}$$
C
$${\pi \over 6}$$
D
$${\pi \over 4}$$
3
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
A triangular park is enclosed on two sides by a fence and on the third side by a straight river bank. The two sides having fence are of same length $$x$$. The maximum area enclosed by the park is
A
$${3 \over 2}{x^2}$$
B
$$\sqrt {{{{x^3}} \over 8}} $$
C
$${1 \over 2}{x^2}$$
D
$$\pi {x^2}$$
4
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
A function is matched below against an interval where it is supposed to be increasing. Which of the following pairs is incorrectly matched?
A
Interval Function
(- $$\infty $$, $$\infty $$) x3 - 3x2 + 3x + 3
B
Interval Function
[2, $$\infty $$) 2x3 - 3x2 - 12x + 6
C
Interval Function
$$\left( { - \infty ,{1 \over 3}} \right]$$ 3x2 - 2x + 1
D
Interval Function
($$ - \infty $$, - 4 ) x3 + 6x2 + 6
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