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Byju's Answer
Standard XII
Mathematics
Foot of the Perpendicular from a Point on a Plane
Write the equ...
Question
Write the equation of the plane parallel to XOY- plane and passing through the point (2, −3, 5).
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Solution
The equation of the plane parallel to the plane
XOY
is
z
=
b
.
.
.
1
,
where
b
is a constant.
It is given that this plane passes through (2,-3, 5). So,
5
=
b
Substituting this value in (1), we get
z
=
5
,
which is the required equation of the plane.
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