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Byju's Answer
Standard XII
Mathematics
External Division
Find the dist...
Question
Find the distance of the point (6,-8) from the origin. Also find the midpoint of the line joining these two points.
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Solution
Let
P
6
,
-
8
be
the
given
point
and
O
0
,
0
be
the
origin
.
We
know
that
distance
between
the
points
x
1
,
y
1
and
x
2
,
y
2
is
Now
,
using
distance
formula
:
OP
=
0
-
6
2
+
0
+
8
2
⇒
OP
=
36
+
64
⇒
OP
=
100
⇒
OP
=
10
units
Now
,
coordinates
of
mid
point
of
the
line
segment
joining
the
points
x
1
,
y
1
and
x
2
,
y
2
is
x
1
+
x
2
2
,
y
1
+
y
2
2
Now
,
coordinates
of
mid
point
of
line
segment
joining
P
6
,
-
8
and
O
0
,
0
is
6
+
0
2
,
-
8
+
0
2
=
3
,
-
4
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