1
AIEEE 2005
+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
2
AIEEE 2004
+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
$$(2, 4)$$
3
AIEEE 2004
+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
$${\left( {x - 1} \right)^2}$$
4
AIEEE 2004
+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
$$(0, 1)$$
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