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Question -

Does the point (–2.5, 3.5) lie inside,outside or on the circle x2 + y2 = 25?



Answer -

The equation of the given circle is x2 + y2 = 25.

x2 + y2 = 25

(– 0)2 + (y –0)2 = 52, which is of the form (x – h)2 + (y – k)2 = r2, where h =0, k = 0, and r = 5.

Centre= (0, 0) and radius = 5

Distance between point(–2.5, 3.5) and centre (0, 0)

Sincethe distance between point (–2.5, 3.5) and centre (0, 0) of the circle is lessthan the radius of the circle, point (–2.5, 3.5) lies inside the circle.

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