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9. [-/1 Points) DETAILS LARPCALC10 10.6.052.MI. Eliminate the parameter and obtain the standard form of the...

Question:

9. [-/1 Points) DETAILS LARPCALC10 10.6.052.MI. Eliminate the parameter and obtain the standard form of the rectangular equat
9. [-/1 Points) DETAILS LARPCALC10 10.6.052.MI. Eliminate the parameter and obtain the standard form of the rectangular equation. Circle: x = h + r cosa, y = k + r sin a Need Help? Read it Watch It Master it Submit Answer

Answers

Given that,

x = h + r cos(α)

i.e. r cos(α) = x - h.......... (1)

And,

y = k + r sin(α)

i.e. r sin(α) = y - k.......... (2)

.

Now by squaring and adding, both the equations, we get,

r2​​​​​​cos2​​​​​​(α) + r2​​​​​​sin2​​​​​​(α) = (x - h)2​​​​​​ + (y - k)2​​​​​

i.e.

R2​​​​​(cos2​​​​​​(α) + sin2​​​​​(α)) = (x - h)2​​​​​​ + (y - k)2

i.e. r2​​​​​​ = (x - h)2​​​​​​ + (y - k)2​​​​​

i.e. (x - h)2​​​​​​ + (y - k)2​​​​​​ = r2​​​​​

.

.

So the required rectangular equation is,

(x - h)2​​​​​​ + (y - k)2​​​​​​ = r2​​​​​​

.

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