Question

find the equation of circle touching the x - axis at ( 5, 0 ) and having radius 2 unit
​

Answer 1

Answer:

x

2

+y

2

−8x±4y+16=0

Step-by-step explanation:

Let (h, k) is a centre of a circle then

∴radius=2=

∣

∣

∣

1

k

∣

∣

∣

⇒k=

−

+

2 -----(1)

and by Geomerty h= 4

∴eq

n

centre having centre (4,±2) and radius = 2

∴(x−4)

2

+(y

−

+

2)

2

=4

⇒x

2

+y

2

−8x

−

+

4y+16=0.

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