Question

if X=h +a cos∅ and y= k+a sin∅ , prove that (x-h)²+(y-k)²=a²
pls prove
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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.

Step-by-step explanation:

hope it helps

Answer 2

Answer:

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