If a circle drawn with origin as the center passes through then the point which does not lie in the interior of the circle is

Given,

Centre of circle in (0, 0) and passes through the point

So,

Radius of circle = Distance between origin (0, 0) and point

=

A point lie outside on the circle or inside the circle of the distance of it from the center of the circle is greater than equal to or less than radius of the circle.

Now, compare all the options one by one.

(a) Distance between (0, 0) and

So, the point lies interior to the circle.

(b) Distance between (0, 0) and

So, the point lies inside the circle.

(c) Distance between (0, 0) and

= 5.02 < 6.5

So, the point lies inside the circle.

(d) Distance between (0, 0) and

= 6.5

So, the point does not lie in the circle.

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