Answer:
Equation of circle x² + y² = 5
Step-by-step explanation:
Given circle whose origin is at center, (g , h) = (0 , 0)
And end points of diameter = (-1 , 2) and (1 , -2)
So, Distance of diameter = [tex]\sqrt{(x2 - x1)² + (y2 - y1)²}[/tex]
So , Diameter = [tex]\sqrt{(1 + 1)² + (-2 - -)²}[/tex]
or, Diameter = [tex]\sqrt{20}[/tex] = [tex]2\sqrt{5}[/tex]
Or, D = 2[tex]\sqrt{5}[/tex] unit
Now Radius = [tex]\frac{Diameter}{2}[/tex] = [tex]\frac{2[tex]\sqrt{2}[/tex]}{2}[/tex]
so, Radius ( r) = [tex]\sqrt{5}[/tex] unit
SO, equation of circle is
(x -0)² + (y - 0)² = r²
i.e Equation of circle x² + y² = 5 Answer