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does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?
Question
does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?
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Mathematics
3 years
2021-08-02T10:52:25+00:00
2021-08-02T10:52:25+00:00 2 Answers
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Answer:
These points lie INSIDE THE CIRCLE
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Given equation of the Circle is ,
And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,
Here we can say that ,
• Radius = 5 units
• Centre = (0,0)
Finding distance between the two points :-
Here we can see that the distance of point from centre is less than the radius.
Hence the point lies within the circle .