1
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
2
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
If the sum of the slopes of the lines given by $${x^2} - 2cxy - 7{y^2} = 0$$ is four times their product $$c$$ has the value :
A
$$-2$$
B
$$-1$$
C
$$2$$
D
$$1$$
3
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
If one of the lines given by $$6{x^2} - xy + 4c{y^2} = 0$$ is $$3x + 4y = 0,$$ then $$c$$ equals :
A
$$-3$$
B
$$-1$$
C
$$3$$
D
$$1$$
4
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
Let $$A\left( {2, - 3} \right)$$ and $$B\left( {-2, 1} \right)$$ be vertices of a triangle $$ABC$$. If the centroid of this triangle moves on the line $$2x + 3y = 1$$, then the locus of the vertex $$C$$ is the line :
A
$$3x - 2y = 3$$
B
$$2x - 3y = 7$$
C
$$3x + 2y = 5$$
D
$$2x + 3y = 9$$
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