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Byju's Answer
Standard XII
Mathematics
Intercept Made by Circle on Axes
The set of po...
Question
The set of points on an Argand diagram which satisfy both
|
z
|
≤
4
&
A
r
g
z
=
π
3
is
A
a circle & a line
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B
a radius of a circle
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C
a sector of a circle
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D
an infinite part line
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Solution
The correct option is
B
a radius of a circle
⇒
|
z
|
≤
4
ξ
A
r
g
z
=
π
3
For all points on the line
⇒
|
¯
z
|
≤
4
and
a
r
g
(
¯
z
)
=
π
3
As this is a circle of radius 4. For all points inside the circle and on it,
x
2
+
y
2
≤
4
or
|
¯
z
|
≤
4
And the vector its indined at an angle
π
3
w.r.t
x
−
a
x
i
s
.
Hence, the answer is a radius of a circle.
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