Any point on the circle x^2+y^2=a^2 can be taken as – InterviewSolution

1.

Any point on the circle x^2+y^2=a^2 can be taken as

Answer»

GIVEN :

Equation of the CIRCLE is :

$x^2 + y^2 = a^2$

To Find :

Coordinates of any POINT on this circle =?

Solution :

The radius of this circle is = a units

Now , any point P on a circle can be TAKEN as :

( $rcos\theta , <klux>R</klux> sin \theta$ )

Here , r is the radius of the circle and $\theta$ is the angle that the point P makes with the positive x axis .

Since , here radius of the given circle is 'a' , so any point for this circle will be :

$(a cos\theta , a sin \theta )$

Hence , any point on the given circle $x^2 + y^2 = a^2$ will be $( a cos \theta , a sin \theta)$

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