Question

Find the centre and radius of the cicle
3x2 + 3y - 3x + 67 -9 = 0​

Answer 1

Answer:

Show that the equation 3x

2

+3y

2

−6x+4y−1=0 represents a circle. Find its centre and radius.

ANSWER

3x

2

+3y

2

−6x+4y−1=0⇒[(

3

x)

2

−2×

3

×

3

×x+(

3

)

2

]+[(

3

y)

2

+2×

3

×

3

2

y+(

3

2

)

2

]−3−

3

4

−1=0

⇒(

3

)

2

+(

3

y+

3

2

)

2

−

3

16

=0

3(x−1)

2

+3(y+

3

2

)

2

−

3

16

=0

(x−1)

2

+(y+

3

2

)

2

=

3×3

16

=(

3

4

)

2

center (1,

3

−2

) radius =

3

4

Step-by-step explanation:

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