Question

Show that $x^2+y^2=a^2$ represent the standard equation of a circle whose centre at $(0,0)$ and radius is $a$.

Answer 1

$\to$ co-ordinate of centre $(0,0)$

$\to$ Take B pt $(x,y)$ on circle

$\to$ and Radius is ${}^{\prime \prime }{a}^{\prime \prime }$

So by the distance formula .

$B{C}^2=(x-0{)}^2+(y-0{)}^2$

$BC=a$

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