Math, asked by priyankaramaseshan, 3 months ago

8x-2y/x²-y²=4
please solve​

Answers

Answered by mrgoodb62
0

Answer:

x

2

+y

2

+8x−2y−9=0

C

1

=(−4,1) and r

1

=

4

2

+1

2

+9

=

26

x

2

+y

2

−2x+8y−7=0

C

2

≡(1,−4) and r

2

=

1

2

+4

2

+7

=

24

∴cos(180−θ)=

2r

1

r

2

r

1

2

+r

2

2

−(c

1

c

2

)

2

⇒−cosθ=

2

24

26

24+26−50

⇒cosθ=0

⇒θ=90

0

=

2

π

is the angle between the circles

Answered by sunprince0000
0

Answer

Correct option is

D

2

π

 

x  

2

+y  

2

+8x−2y−9=0

C  

1

=(−4,1) and r  

1

=  

4  

2

+1  

2

+9

=  

26

 

x  

2

+y  

2

−2x+8y−7=0

C  

2

≡(1,−4) and r  

2

=  

1  

2

+4  

2

+7

=  

24

 

∴cos(180−θ)=  

2r  

1

r  

2

 

r  

1

 

2

+r  

2

 

2

−(c  

1

c  

2

)  

2

 

 

⇒−cosθ=  

2  

24

 

26

 

24+26−50

 

⇒cosθ=0

⇒θ=90  

0

=  

2

π

 is the angle between the circles

Hence, option D.

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