Question

What is angle between x2+y2-6x+8 and y-x+2​

Answer 1

Answer:

3

π

Step-by-step explanation:

x

2

+y

2

−4x−6y−3=0

r

1

=

2

2

+3

2

+3

=

16

and c

1

=(2,3)

=4

and x

2

+y

2

+8x−4y+11=0

r

2

=

4

2

+2

2

−11

=3 and c

2

=(−4,2)

∴cos(180−θ)=

2r

1

r

2

r

1

2

+r

2

2

−(c

1

c

2

)

2

cos(180−θ)=

2×4×3

25−37

cosθ=

2

1

θ=60

0

⇒θ=

3

π

, angle bet

n

circles.

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