Question

a circle has radius 3 units and its centre lies on the line y=x+1. if it passes through the point(7,3), its equation is​

Answer 1

Answer:

x + 2y = 15.

Hope this helps...

Answer 2

Answer:

(x−h)

2

+(y−k)

2

=r

2

Here (h,k)→ centre

Equation of line through centre

k=h−1−−−−(1)

& (x,y) point on circle

So, given (x,y)=(7,3)

So, (7−h)

2

+(3−h+1)

2

=3

2

Using eqn (1)

We get,

28+h

2

−11h=0

h=7 oR 4

k=6 oR 3

Equation of circle corresponding (7,6)

x

2

+y

2

−14x−12y+76=0

Equation of circle corresponding (4,3)

x

2

+y

2

−8x−6y+16=0

Hope it helps.

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