1
IIT-JEE 2002
+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 $$a$$
2
IIT-JEE 2001 Screening
+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
3
IIT-JEE 2001 Screening
+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
$$1/\left( {\left| {m - n} \right|} \right)$$
4
IIT-JEE 2000 Screening
+3
-0.75
Let $$PS$$ be the median of the triangle with vertices $$P(2, 2),$$ $$Q(6, -1)$$ and $$R(7, 3).$$ The equation of the line passing through $$(1, -1)$$ and parallel to $$PS$$ is
A
$$2x - 9y - 7 = 0$$
B
$$2x - 9y - 11 = 0$$
C
$$2x + 9y - 11 = 0$$
D
$$2x + 9y + 7 = 0$$
EXAM MAP
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NEET