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Byju's Answer
Standard XII
Mathematics
Direction Cosines
The equation ...
Question
The equation of a plane which cuts equal intercepts of unit length on the axes is
A
x
+
y
+
z
=
0
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B
x
+
y
+
z
=
1
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C
x
+
y
−
z
=
1
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D
x
a
+
y
a
+
z
a
=
1
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Solution
The correct option is
B
x
+
y
+
z
=
1
The equation of the plane with intercepts
a
,
b
,
c
on the axes is,
x
a
+
y
b
+
z
c
=
1
Since,
a
,
b
,
c
=
1
,
x
+
y
+
z
=
1
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0
Similar questions
Q.
The equation of the plane which cuts equal intercepts of unit length on the coordinate axes is
(a) x + y + z = 1
(b) x + y + z = 0
(c) x + y − z = 1
(d) x + y + z = 2
Q.
Find the equation of the plane with intercepts 2, 3 and 4 on the x, y and z-axes respectively