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Byju's Answer
Standard XII
Mathematics
Cross Product of Two Vectors
The area of t...
Question
The area of the figure formed by the points
(-1,-1,1);(1,1,1)
and their mirror images on the plane 3x + 2y + 4z + 1 = 0
is
A
5
√
33
29
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B
4
√
33
29
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C
20
√
33
27
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D
20
√
33
29
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Solution
The correct option is
D
20
√
33
29
Req. area
=
Δ
P
Q
Q
1
=
2
Δ
P
Q
M
=
2.
1
2
.
Q
M
.
P
M
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3
Similar questions
Q.
Find the equation of the sphere passing through the points
(
3
,
0
,
0
)
,
(
0
,
−
1
,
0
)
and
(
0
,
0
,
−
2
)
and having the centre of the plane
3
x
+
2
y
+
4
z
=
1
.
Q.
If a plane passing through the point
(
2
,
2
,
1
)
and is perpendicular to the planes
3
x
+
2
y
+
4
z
+
1
=
0
and
2
x
+
y
+
3
z
+
2
=
0
. Then, the equation of the plane is
Q.
The equation of the plane passing through
(
1
,
−
1
,
1
)
and through the line of intersection of the planes,
x
+
2
y
−
3
z
+
1
=
0
, and
3
x
−
2
y
+
4
z
+
3
=
0
is
Q.
Equation of the plane through the points (2, 1, –1) and (–1, 3, 4) and perpendicular to the plane x + 2y + 4z = 0 is given by :
Q.
If
Q
(
0
,
−
1
,
−
3
)
is the image of the point
P
in the plane
3
x
−
y
+
4
z
=
2
and
R
is the point
(
3
,
−
1
,
−
2
)
,
then the area (in sq. units) of
Δ
P
Q
R
is :
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