Question

(1) Write the parametric equations of the circles
(i) x2 + y2 = 9​

Answer 1

Step-by-step explanation:

Parametric form of a point on a circle is

$x = a + r \cos(x) \\ \\ \\ \\ y = b + r \sin(x)$

Here (a,b) is the centre which is (0,0) and radius is 3

$x = 3 \cos(x) \: \: \: \: \: \: \: and \: \: \: y = 3 \sin(x)$

Answer 2

The parametric equation of the circle is given by

$x=3cos\theta,y=3sin\theta$

Step-by-step explanation:

Given equation of circles

$x^2+y^2=9$

$x^2+y^2=3^2$

By comparing with the general equation of circle

$(x-h)^2+(y-k)^2=r^2$

Where center =(h,k)

r=Radius of circle

Center of circle=(0,0)

Radius of circle=r=3

We know that parametric equation of circle

$x=rcos\theta$

$y=rsin\theta$

Substitute the values then we get

$x=3cos\theta$

$y=3sin\theta$

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https://brainly.in/question/12547131:Answered by SocioMetric star