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Byju's Answer
Standard XII
Mathematics
Angle of Intersection of Two Curves
The measure o...
Question
The measure of the chord intercepted by circle x
2
+ y
2
= 9 and the line x - y + 2 + 0 is ?
7
5
2 under root 5
under root 28
Open in App
Solution
The
given
equation
of
line
is
:
x
-
y
+
2
=
0
.
.
.
.
1
The
given
equation
of
circle
is
:
x
2
+
y
2
=
9
.
.
.
.
.
2
The
centre
of
the
circle
is
C
0
,
0
and
radius
3
units
.
Length
of
the
⊥
drawn
from
the
point
C
on
the
line
x
-
y
+
2
=
0
is
:
d
=
0
×
1
+
0
×
-
1
+
2
1
2
+
-
1
2
=
2
Since
,
d
<
r
,
so
the
line
intersect
the
circle
at
2
points
.
Length
of
the
chord
intercepted
=
2
r
2
-
d
2
=
2
9
-
2
=
2
7
=
28
units
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0
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