Question 1 - Slope tests for parallel and perpendicular lines Practice | Prasnya
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Mathematics 1
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Week 2
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Parallel and Perpendicular Lines - Parallel and Perpendicular...
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Slope tests for...
Question 1
00:00
Est. 2 min
Marks:
+3.00
0.00
Passage
Consider a parallelogram whose sides are represented by the lines
−
2
x
+
y
=
0
-2x+y=0
,
x
+
2
y
=
0
x+2y=0
,
x
+
2
y
−
5
=
0
x+2y-5=0
and
−
2
x
+
y
−
5
=
0
-2x+y-5=0
. Based on this information, answer the given sub-questions. Recall: A parallelogram is defined as a quadrilateral in which both pairs of opposite sides are parallel.
Question
Choose the correct option(s) from the following.
Comprehension
Medium Difficulty
05 June 2022
A
The lines
−
2
x
+
y
=
0
-2x+y=0
and
x
+
2
y
=
0
x+2y=0
pass through the origin.
B
The lines
−
2
x
+
y
=
0
-2x+y=0
and
x
+
2
y
=
0
x+2y=0
are parallel to each other.
C
The lines
−
2
x
+
y
=
0
-2x+y=0
and
x
+
2
y
=
0
x+2y=0
are perpendicular to each other.
D
The lines
−
2
x
+
y
=
0
-2x+y=0
and
−
2
x
+
y
−
5
=
0
-2x+y-5=0
are parallel to each other.