Question

in the xy-plane which of the following points lies inside the circular region of radius 3 centered at (1,-2)

Answer 1

any choises?

Answer 2

A- (-1,1) B (1,2) C (0,-5) D (3,0)

Answer 3

well let me think

Answer 4

well one more minute

Answer 5

ok

Answer 6

D i think

Answer 7

can you write equation of circle using given information ?
@Nicomia1023

Answer 8

(x-1)^2+(y+2)^2=9

Answer 9

good !!

Answer 10

well in the region of this circle only D lies inside

Answer 11

after simplifying it,
we get
\[\large \bf x^2+y^2-2x+4y-4=0\]

Answer 12

yes

Answer 13

now plug all the values in the equation ,if the value come out which is less than 0,then that point will lie inside the circular region and if the value come out which is equal to 0,then that point will lie on the circular region and if the value come out is greater than 0,then that point will lie outside the circle.

Answer 14

so whats your answer?

Answer 15

@Nicomia1023 can you give me a medal cuz i already gave a medal to @mayankdevnani

Answer 16

plug value of option D i.e (3,0)
we get
\[\large \bf 9+0-6+0-4=-1\]
we can see that value is less than 0,so option D is correct answer :)

Answer 17

hope you understand. @Nicomia1023

Answer 18

i understand a little

Answer 19

and good job !@ttb123456789
but try to explain the ask more clear about solving a question

Answer 20

@ttb123456789

Answer 21

ok

Answer 22

good !! @Nicomia1023

Answer 23

*asker in previous to previous comment

Answer 24

you can also give MEDAL by clicking BEST RESPONSE flashing right side to my and @ttb123456789 's comment
`But choose that user which helps you a lot`

Answer 25

@Nicomia1023

Answer 26

thank you