1
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
The sum of the series $$1 + {1 \over {4.2!}} + {1 \over {16.4!}} + {1 \over {64.6!}} + .......$$ ad inf. is
A
$${{e - 1} \over {\sqrt e }}\,$$
B
$${{e + 1} \over {\sqrt e }}$$
C
$${{e - 1} \over {2\sqrt e }}$$
D
$${{e + 1} \over {2\sqrt e }}$$
2
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
The line parallel to the $$x$$ - axis and passing through the intersection of the lines $$ax + 2by + 3b = 0$$ and $$bx - 2ay - 3a = 0,$$ where $$(a, b)$$ $$ \ne $$ $$(0, 0)$$ is :
A
below the $$x$$ - axis at a distance of $${3 \over 2}$$ from it
B
below the $$x$$ - axis at a distance of $${2 \over 3}$$ from it
C
above the $$x$$ - axis at a distance of $${3 \over 2}$$ from it
D
above the $$x$$ - axis at a distance of $${2 \over 3}$$ from it
3
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
If a vertex of a triangle is $$(1, 1)$$ and the mid points of two sides through this vertex are $$(-1, 2)$$ and $$(3, 2)$$ then the centroid of the triangle is :
A
$$\left( { - 1,{7 \over 3}} \right)$$
B
$$\left( {{{ - 1} \over 3},{7 \over 3}} \right)$$
C
$$\left( { 1,{7 \over 3}} \right)$$
D
$$\left( {{{ 1} \over 3},{7 \over 3}} \right)$$
4
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
A circle touches the x-axis and also touches the circle with centre at (0, 3) and radius 2. The locus of the centre of the circle is :
A
an ellipse
B
a circle
C
a hyperbola
D
a parabola
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