Q2 of 63 Page 202

Show that the point (x, y) given by and lies on a circle for all real values of t such that –1 ≤ t ≤1 where a is any given real numbers.


Squaring both the equations,



Adding both the equations,








x2+y2= a2


The equation of a circle having centre (h,k), having radius as "r" units, is


(x – h)2 + (y – k)2 = r2


Centre = (0, 0) Radius = a units


Hence proved.


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