MyQuestionIcon

12

You visited us 12 times! Enjoying our articles? Unlock Full Access!

Position of a Point W.R.T Parabola

Statement:- ...

Question

Statement:-
$| z | \geq 3,$ the points z lie outside and on the circle whose center is origin and radius unity.
Is it True or False?

Open in App

Solution

The points of the given locus lie on or outside a circle or radius 3. Hence the given statement is false.

Suggest Corrections

thumbs-up

0

Similar questions

State whether the following statement is true or false.

| z - 3 | = 1

represents all point

z

boundary of a circle with center

(3, 0)

1

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.

State True(1) or False(0)

The points which satisfy

2 \leq | z + i | \leq 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.

State True and False

| i - 1 - 2 z | > 9

represents all points

z

which lies outside the circle with center

(- \frac{1}{2}, \frac{1}{2})

\frac{9}{2}

State True and False

All the points z satisfying the condition

| z | < 1

lie within the circle with origin as centre and radius unity.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Position of a Point Relative to a Parabola

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Position of a Point W.R.T Parabola

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon