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Byju's Answer
Standard XII
Mathematics
Position of a Point W.R.T Parabola
Statement:- ...
Question
Statement:-
|
z
|
≥
3
,
the points z lie outside and on the circle whose center is origin and radius unity.
Is it True or False?
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Solution
The points of the given locus lie on or outside a circle or radius 3. Hence the given statement is false.
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Similar questions
Q.
State whether the following statement is true or false.
|
z
−
3
|
=
1
represents all point
z
on the
boundary of a circle with center
(
3
,
0
)
and radius
1
.
Q.
State True and False
|
z
−
1
|
2
+
|
z
+
1
|
2
=
4
represents all
points
z
on the circle with radius
1
and center at origin.
Q.
State True(1) or False(0)
The points which satisfy
2
≤
|
z
+
i
|
≤
3
lie on the boundaries and inside a ring shaped region bounded by two concentric circles with center (0,1) and having radius 2,3.
Q.
State True and False
|
i
−
1
−
2
z
|
>
9
represents all points
z
which lies outside the circle with center
(
−
1
2
,
1
2
)
and radius
9
2
.
Q.
State True and False
All the points z satisfying the condition
|
z
|
<
1
lie within the circle with origin as centre and radius unity.
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