1
AIEEE 2005
MCQ (Single Correct Answer)
+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
$$\left( {1, - {1 \over 2}} \right)$$
2
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
The equation of the straight line passing through the point $$(4, 3)$$ and making intercepts on the co-ordinate axes whose sum is $$-1$$ is :
A
$${x \over 2} - {y \over 3} = 1$$ and $${x \over -2} +{y \over 1} = 1$$
B
$${x \over 2} - {y \over 3} = -1$$ and $${x \over -2} +{y \over 1} = -1$$
C
$${x \over 2} + {y \over 3} = 1$$ and $${x \over 2} +{y \over 1} = 1$$
D
$${x \over 2} + {y \over 3} = -1$$ and $${x \over -2} +{y \over 1} = -1$$
3
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
$$2x + 3y = 9$$
4
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
$$1$$
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