1
AIEEE 2006
+4
-1
If $$\left( {a,{a^2}} \right)$$ falls inside the angle made by the lines $$y = {x \over 2},$$ $$x > 0$$ and $$y = 3x,$$ $$x > 0,$$ then a belong to :
A
$$\left( {0,{1 \over 2}} \right)$$
B
$$\left( {3,\infty } \right)$$
C
$$\left( {{1 \over 2},3} \right)$$
D
$$\left( {-3,-{1 \over 2}} \right)$$
2
AIEEE 2005
+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
+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
+4
-1
If non zero numbers $$a, b, c$$ are in $$H.P.,$$ then the straight line $${x \over a} + {y \over b} + {1 \over c} = 0$$ always passes through a fixed point. That point is :
A
$$(-1,2)$$
B
$$(-1, -2)$$
C
$$(1, -2)$$
D
$$\left( {1, - {1 \over 2}} \right)$$
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