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Byju's Answer
Standard XII
Mathematics
Distance Formula
Let there is ...
Question
Let there is a point P in cartesian plane with coordinates (x,y) . If origin is shifted from (0,0) to (
x
1
,
y
1
),Find the coordinates of point P wrt new origin .
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Solution
So coordinates of point
P
w.r.t. new origin
→
P
′
=
(
x
−
x
1
,
y
−
y
1
)
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0
Similar questions
Q.
If
(
2
,
3
)
are the coordinates of a point
P
in the new system when the origin is shifted to
(
−
3
,
7
)
then the original coordinates of
P
are
Q.
If a point
P
has coordinates
(
3
,
4
)
in a coordinate system
X
′
O
X
↔
Y
′
O
Y
, and if
O
has coordinates
(
4
,
3
)
in another system
X
′
1
O
1
X
1
↔
Y
′
1
O
1
Y
1
with
X
′
O
X
∥
X
′
1
O
1
X
1
, then the coordinates of
P
in the new system
X
′
1
O
1
X
1
↔
Y
′
1
O
1
Y
1
is ________________
Q.
If
(
7
,
5
)
are the new coordinates of
P
when origin is shifted to
(
1
,
1
)
, then the original coordinates of
P
are
Q.
Suppose
P
is a point with coordinates
(
−
8
,
3
)
with respect to a coordinate system
X
′
O
X
↔
Y
′
O
Y
. Let
X
′
1
O
1
X
1
↔
Y
′
1
O
1
Y
1
be another system with
X
′
O
X
∥
X
′
1
O
1
X
1
and suppose
O
1
has coordinates
(
9
,
5
)
with respect to
X
′
O
X
↔
Y
′
O
Y
. What are the coordinates of
P
in the system
X
′
1
O
1
X
1
↔
Y
′
1
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1
Y
1
?
Q.
Find the new coordinates of point (4, -6), if the origin is shifted to the points (-4, -3).
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