1
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
2
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Let f be differentiable for all x. If f(1) = -2 and f'(x) $$ \ge $$ 2 for
x $$ \in \left[ {1,6} \right]$$, then
A
f(6) $$ \ge $$ 8
B
f(6) < 8
C
f(6) < 5
D
f(6) = 5
3
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
A lizard, at an initial distance of 21 cm behind an insect moves from rest with an acceleration of $2 \mathrm{~cm} / \mathrm{s}^2$ and pursues the insect which is crawling uniformly along a straight line at a speed of $20 \mathrm{~cm} / \mathrm{s}$. Then the lizard will catch the insect after :
A
20 s
B
1 s
C
21 s
D
24 s
4
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
A point on the parabola $${y^2} = 18x$$ at which the ordinate increases at twice the rate of the abscissa is
A
$$\left( {{9 \over 8},{9 \over 2}} \right)$$
B
$$(2, -4)$$
C
$$\left( {{-9 \over 8},{9 \over 2}} \right)$$
D
$$(2, 4)$$
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