Mathematics - Circle Question with Solution | TestHub
MathematicsCircleGeneral, Basic geometries, Definition Diametrical form of circleMedium2 minQB
MathematicsMediumsingle choice
Passage / Comprehension
A lattice point has integer coordinates; a rational point has rational coordinates. Every lattice point is rational.
A lattice point has integer coordinates; a rational point has rational coordinates. Every lattice point is rational. For a circle with a non-rational centre, what is the maximum number of rational points on it?
Options:
Answer:
B
Solution:
Three noncollinear rational points uniquely determine a rational centre by solving their perpendicular-bisector equations. A circle with irrational centre can thus contain at most two rational points, and two are attainable.
Stream:JEESubject:MathematicsTopic:CircleSubtopic:General, Basic geometries, Definition Diametrical form of circle
⏱ 2mℹ️ Source: QB
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