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Byju's Answer
Standard XII
Mathematics
Coordinates of a Point in Space
Point D has...
Question
Point
D
has coordinates as
(
3
,
4
,
5
)
.
Find the coordinates of point
G
.
A
(
0
,
3
,
5
)
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B
(
3
,
0
,
4
)
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C
(
3
,
5
,
4
)
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D
(
3
,
0
,
5
)
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Solution
The correct option is
D
(
3
,
0
,
5
)
From the given figure, D has x-coordinate
=
3
, y-coordinate
=
4
and z-coordinate
=
5
.
The points A,B,D and G form a rectangle whose x-coordinate is same i.e.
3
.
So, G has x-coordinate as
3
.
G lie on the same height as D i.e. z-coordinate will be same.
∴
G has z-coordinate
=
5
.
Since, G lie on XZ plane
⟹
y
−
coordinate is
0
.
Hence, coordinates of point G is
(
3
,
0
,
5
)
.
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0
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Let A,B,C be the feet of perpendiculars drawn from P(3,4,5) on XY,YZ,ZX planes respectively, then Coordinates of A,B and C will be
.