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Byju's Answer
Standard XII
Mathematics
Equation of Plane Containing Two Lines
The value of ...
Question
The value of
k
such that
x
−
4
1
=
y
−
2
1
=
z
−
k
2
lies in the plane
2
x
−
4
y
+
z
=
7
is
A
7
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B
−
7
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C
no real value
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D
4
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Solution
The correct option is
A
7
Given equation of straight line
x
−
4
1
=
y
−
2
1
=
z
−
k
2
Since, the line lies in the plane
2
x
−
4
y
+
z
=
7
∴
Point
(
4
,
2
,
k
)
must satisfy the plane.
⇒
8
−
8
+
k
=
7
⇒
k
=
7
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0
Similar questions
Q.
The value of k such that
x
−
4
1
=
y
−
2
1
=
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−
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lies in the plane 2x -4y +z =7, is
Q.
The value of
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such that the line
x
−
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1
=
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−
2
1
=
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lies on the plane
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Q.
The line
x
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−
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1
=
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−
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lies exactly in the plane
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x
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y
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, then value of
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is
Q.
The line
L
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:
x
−
4
1
=
y
−
2
1
=
z
−
k
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lies in the plane
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x
−
4
y
+
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=
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, then the equation of the plane containing the line
L
1
and perpendicular to the plane
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y
+
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=
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,
is:
Q.
For what value of
′
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′
the line
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−
3
2
=
y
+
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+
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−
5
lies on the plane
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−
y
+
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