Math, asked by vaishnavi5104s, 1 month ago

Q.5) find the center and radius of the equation: x² + y² - 2x + 4y - 4 =0

Answers

Answered by prathameshwarle3116
0

Answer:

centre =(1 , -2 ) and r = 3

Step-by-step explanation:

The general equation of a circle is

x

2

+

y

2

+

2

g

x

+

2

f

y

+

c

=

0

the equation here

x

2

+

y

2

2

x

+

4

y

4

=

0

is in this form and by comparison of the 2 equations , obtain

2g = - 2 → g = -1 and 2f = 4 → f = 2 , c = -4

now centre = (-g , -f ) = (1 , -2 )

and radius , r

=

g

2

+

f

2

c

hence r

=

(

1

)

2

+

2

2

+

4

=

9

=

3

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