1
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
Let $$a, b$$ and $$c$$ be distinct non-negative numbers. If the vectors $$a\widehat i + a\widehat j + c\widehat k,\,\,\widehat i + \widehat k$$ and $$c\widehat i + c\widehat j + b\widehat k$$ lie in a plane, then $$c$$ is :
A
the Geometric Mean of $$a$$ and $$b$$
B
the Arithmetic Mean of $$a$$ and $$b$$
C
equal to zero
D
the Harmonic Mean of $$a$$ and $$b$$
2
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
The angle between the lines $$2x=3y=-z$$ and $$6x=-y=-4z$$ is :
A
$${0^ \circ }$$
B
$${90^ \circ }$$
C
$${45^ \circ }$$
D
$${30^ \circ }$$
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
If $${z_1}$$ and $${z_2}$$ are two non-zero complex numbers such that $$\,\left| {{z_1} + {z_2}} \right| = \left| {{z_1}} \right| + \left| {{z_2}} \right|$$, then arg $${z_1}$$ - arg $${z_2}$$ is equal to :
A
$${\pi \over 2}\,$$
B
$$ - \pi $$
C
0
D
$${{ - \pi } \over 2}$$
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