Question

x =h+acos , y = k +b sin e​

Answer 1

ANSWER

Given,

x=h+acosθ

y=k+asinθ

Now,

x−h=acosθ

y−k=asinθ

On squaring and adding we get,

(x−h)

2

+(y−k)

2

=a

2

cos

2

θ+a

2

sin

2

θ

=a

2

(sin

2

θ+cos

2

θ)

=a

2

(1) Since [sin

2

θ+cos

2

θ=1].

Hence proved.