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Byju's Answer
Standard XII
Mathematics
Condition for Two Lines to Be Perpendicular
The line x-...
Question
The line
x
−
2
3
=
y
+
1
2
=
z
−
1
−
1
intersects the curve
x
y
=
c
2
,
z
=
0
, if
c
=
A
5
√
5
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B
4
√
5
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C
√
5
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D
2
√
5
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Solution
The correct option is
C
√
5
x
−
2
3
=
y
+
1
2
=
z
−
1
−
1
=
λ
x
=
3
λ
+
2
,
y
=
2
λ
−
1
,
z
=
−
λ
+
1
z
=
0
⇒
−
λ
+
1
=
0
λ
=
1
x
=
3
(
1
)
+
2
y
=
2
(
1
)
−
1
x
=
5
y
=
1
x
y
=
c
2
(
5
)
(
1
)
=
c
2
c
=
√
5
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0
Similar questions
Q.
The line
x
−
2
3
=
y
+
1
2
=
z
−
1
−
1
intersects the curve
x
y
=
c
2
,
z
=
0
if c is equal to
Q.
The line
x
−
2
3
=
y
+
1
2
=
z
−
1
−
1
intersects the curve
x
y
=
c
2
, in
x
y
plane if
c
is equal to
Q.
On which of the following lines lies the point of intersection of the line,
x
−
4
2
=
y
−
5
2
=
z
−
3
1
and the plane,
x
+
y
+
z
=
2
?
Q.
Equation of the line passing through the point
(
2
,
3
,
1
)
and parallel to the line of the intersection of the plane
x
−
2
y
−
z
+
5
=
0
and
x
+
y
+
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=
6
is
Q.
The image of the line
x
−
1
3
=
y
−
3
1
=
z
−
4
−
5
in the plane
2
x
−
y
+
z
+
3
=
0
is the line:
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Condition for Two Lines to Be Perpendicular
Standard XII Mathematics
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