Math, asked by yashraturi51, 3 months ago

find the EQ of tangent such that
EQ of circle=x²+y²=a² making a triangle of area a² with axes​

Answers

Answered by Anonymous
0

Answer:

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Answered by madakeaatish
0

Answer:

hello  I am Aatish

Step-by-step explanation:

Let y=mx+r  

m  

2

+1

​  

 be a tangent to circle x  

2

+y  

2

=a  

2

,C=(0,0),r=a

y=mx+a  

m  

2

+1

​  

 

Taking only + sign

⟹  

a  

m  

2

+1

​  

 

−mx

​  

+  

a  

m  

2

+1

​  

 

y

​  

=1

⟹  

−m

a  

m  

2

+1

​  

 

​  

 

x

​  

+  

a  

m  

2

+1

​  

 

y

​  

=1

Area of  

a

x

​  

+  

b

y

​  

=1 with axes  

2

1

​  

∣ab∣

Area=  

2

1

​  

×  

∣−m∣

(a  

m  

2

+1

​  

)  

2

 

​  

=a  

2

 

m

a  

m  

2

+1

​  

 

​  

=±2a  

2

 

m  

2

+1±2m=0

m=1,m=−1

Tangent equation is

y=±x±a  

1+1

​  

 

x±y=±a  

2

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