Question

sin^-1(x^2+y^2) = tan^-1(y/n) + c represents a circle then find the centre and radius of circle​

Answer 1

Step-by-step explanation:

x=

1+t

2

2a(1−t

2

)

and y=

1+t

2

4 a t

let,t=tanθ

x=2a(

1+tan

2

θ

1−tan

2

θ

) ⇒x=2acos2θ

y=

1+tan

2

θ

4atanθ

⇒y=2a sin2θ

∴

4a

2

x

2

+

4a

2

y

2

=1

x

2

+y

2

=4a

2

So, the radius of circle is 2a.

Hope by seeing this you can do the sum yourself ☺☺