Question

31. If x = h + a cos 0 and y = k + a sin 0, prove that (x – h)2 + (y - k)2 = a.​
That's theta not 0 .

Answer 1

Answer:

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.

Step-by-step explanation:

hope u helped this