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Byju's Answer
Standard XII
Mathematics
Direction Cosines
If the equati...
Question
If the equation of line AB is
3
−
x
1
=
y
+
2
−
2
=
z
−
5
4
, then write the direction ratios of the line parallel to above line AB.
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Solution
Given, equation of line can be written as
x
−
3
−
1
=
y
+
2
−
2
=
z
−
5
4
Therefore,
Direction ratios of the line parallel to above line are
−
1
,
−
2
,
4
.
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Similar questions
Q.
If the equations of a line AB are
3
-
x
1
=
y
+
2
-
2
=
z
-
5
4
,
write the direction ratios of a line parallel to AB.
Q.
Cartesian equations of a line AB are
2
x
-
1
2
=
4
-
y
7
=
z
+
1
2
.
Write the direction ratios of a line parallel to AB.
Q.
If a line with direction ratio
2
:
2
:
1
intersects the line
x
−
7
3
=
y
−
5
2
=
z
−
3
1
and
x
−
1
2
=
y
+
1
4
=
z
+
1
3
at
A
and
B
then
A
B
=
Q.
If a line with direction ratios
2
:
2
:
1
intersects the lines
x
−
7
3
=
y
−
5
2
=
z
−
3
1
and
x
−
1
2
=
y
+
1
4
=
x
+
1
3
at
A
and
B
, respectively then
A
B
=
Q.
If a line with direction ratios
(
2
,
2
,
1
)
intersects the line
x
−
7
3
=
y
−
5
2
=
z
+
3
1
and
x
−
1
2
=
y
+
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at A and B then AB=.
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