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Byju's Answer
Standard XII
Mathematics
Distance of a Point from Coordinate Axes
The perpendic...
Question
The perpendicular distance of the point
(
x
,
y
,
z
)
from the x-axis is
A
√
x
2
+
y
2
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B
√
y
2
+
z
2
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C
√
z
2
+
x
2
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D
√
x
2
+
y
2
+
z
2
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Solution
The correct option is
B
√
y
2
+
z
2
The given point is
(
x
,
y
,
z
)
∴
by distance formula
Distance =
√
(
x
−
x
)
2
+
(
y
−
0
)
2
+
(
z
−
0
)
2
=
√
y
2
+
z
2
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Similar questions
Q.
If x = r sin θ cos ϕ, y = r sin θ sin ϕ and z = r cos θ, then
(a)
x
2
+
y
2
+
z
2
=
r
2
(b)
x
2
+
y
2
-
z
2
=
r
2
(c)
x
2
-
y
2
+
z
2
=
r
2
(d)
z
2
+
y
2
-
x
2
=
r
2