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Byju's Answer
Standard XII
Mathematics
Equation of a Plane : General Form
30. P is a po...
Question
30. P is a point(a,b,c) . Let A ,B ,C be images of P in y_z ,z_x and x_y planes respectively , then the equation of the plane ABC is
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Q.
Let A(1,1,1) , B(2,3,5) and C ( -1, 0,2) be three points , then equation of a plane parallel to the plane ABC which is at distance 2 units is:
Q.
Let
A
(
1
,
1
,
1
)
,
B
(
2
,
3
,
5
)
and
C
(
−
1
,
0
,
2
)
be three points, then equation of a plane parallel to the plane
A
B
C
and at the distance
2
is
Q.
The equation of a parabola is
y
2
=
4
x
. Let P (1,3) and Q (1,1) are two points in the xy
plane. Then,
Q.
From the point
P
(
a
,
b
,
c
)
, let perpendiculars
P
L
and
P
M
be drawn to
Y
O
Z
and
Z
O
X
planes, respectively. Then the equation of the plane
O
L
M
is-
Q.
Let
A
≡
(
3
,
−
1
,
−
1
)
and
B
≡
(
3
,
1
,
0
)
be the points in the plane
x
+
y
+
z
=
1
and
2
x
−
y
−
z
=
5
respectively. C is a variable point lying in both the planes such that perimeter of
△
A
B
C
is minimum then coordinates of point C is.
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