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Byju's Answer
Standard XII
Mathematics
Distance between Two Parallel Planes
Given the lin...
Question
Given the linear equation
2
x
+
3
y
−
8
=
0
,
write another linear equation in two variables such that geometrical representation of the pair so formed is
(i) intersecting lines
(ii) Parallel lines
(iii) coincident lines
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Solution
Given line is
2
x
+
3
y
−
8
=
0
(a)example of intersecting line ;
x
+
y
−
5
=
0
forms an intersecting line
(b) example for parallel line
Parallel line
⇒
slopes must be equal
⇒
6
x
+
9
y
+
10
=
0
is parallel to the given line
(c) example of coincident lines
Coincident
⇒
ratio of coefficient must be equal
⇒
4
x
+
6
y
−
16
=
0
coincides with the given line
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