a circle drawn with origin as the centre passes through (5,0). the point which does not lie in the interior of the circle is
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Given: A circle drawn with origin as the centre passes through (5,0).
To find: The point which does not lie in the interior of the circle.
Solution:
- Now we have given that the centre is taken as origin (0,0).
- It is provided that circle passes through the point (5,0), which means the radius is at distance (5,0).
- Let the distance be x.
- Now the distance from centre to (5,0) is:
x = √(x2-x1)² + (y2-y1)²
x = √(5-0)² + (0-0)²
x = √25
x = ±5
- Now -5 will be discarded as distance is taken positive always.
- So the point which has a distance less than 5 cm, they will be inside the circle.
Answer:
So the point which has a distance less than 5 cm, they will be inside the circle.
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