1
IIT-JEE 2002
MCQ (Single Correct Answer)
+4
-1
If the pair of lines $$a{x^2} + 2hxy + b{y^2} + 2gx + 2fy + c = 0$$ intersect on the $$y$$ axis then
A
$$2fgh = b{g^2} + c{h^2}$$
B
$$b{g^2} \ne c{h^2}$$
C
$$\,abc = 2fgh$$
D
none of these
2
IIT-JEE 2002
MCQ (Single Correct Answer)
+4
-1
The pair of lines represented by
$$3a{x^2} + 5xy + \left( {{a^2} - 2} \right){y^2} = 0$$ are perpendicular to each other for
A
two values of $$a$$
B
$$\forall \,a$$
C
for one values of $$a$$
D
for no values of $$a$$
3
IIT-JEE 2001 Screening
MCQ (Single Correct Answer)
+3
-0.75
The number of integer values of $$m$$, for which the $$x$$-coordinate of the point of intersection of the lines $$3x + 4y = 9$$ and $$y = mx + 1$$ is also an integer, is
A
2
B
0
C
4
D
1
4
IIT-JEE 2001 Screening
MCQ (Single Correct Answer)
+3
-0.75
Area of the parallelogram formed by the lines $$y = mx$$, $$y = mx + 1$$, $$y = nx$$ and $$y = nx + 1$$ equals
A
$$\left| {m + n} \right|/{\left( {m - n} \right)^2}$$
B
$$2/\left| {m + n} \right|$$
C
$$1/\left( {\left| {m + n} \right|} \right)$$
D
$$1/\left( {\left| {m - n} \right|} \right)$$
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